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400960 = 2657179
BaseRepresentation
bin1100001111001000000
3202101000101
41201321000
5100312320
612332144
73256660
oct1417100
9671011
10400960
1125427a
12174054
13110671
14a61a0
157dc0a
hex61e40

400960 has 56 divisors (see below), whose sum is σ = 1097280. Its totient is φ = 136704.

The previous prime is 400949. The next prime is 400963. The reversal of 400960 is 69004.

400960 = T6 + T7 + ... + T133.

It is a happy number.

400960 is a nontrivial binomial coefficient, being equal to C(896, 2).

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (400963) by changing a digit.

400960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2151 + ... + 2329.

2400960 is an apocalyptic number.

400960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

400960 is the 895-th triangular number and also the 448-th hexagonal number.

400960 is the 299-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548640).

400960 is an abundant number, since it is smaller than the sum of its proper divisors (696320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400960 is a wasteful number, since it uses less digits than its factorization.

400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 400960 is about 633.2140238498. The cubic root of 400960 is about 73.7395273840.

Adding to 400960 its reverse (69004), we get a palindrome (469964).

The spelling of 400960 in words is "four hundred thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 179 224 280 320 358 448 560 716 895 1120 1253 1432 1790 2240 2506 2864 3580 5012 5728 6265 7160 10024 11456 12530 14320 20048 25060 28640 40096 50120 57280 80192 100240 200480 400960