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400608 = 253213107
BaseRepresentation
bin1100001110011100000
3202100112100
41201303200
5100304413
612330400
73255645
oct1416340
9670470
10400608
11253a8a
12173a00
13110460
14a5dcc
157da73
hex61ce0

400608 has 72 divisors (see below), whose sum is σ = 1238328. Its totient is φ = 122112.

The previous prime is 400607. The next prime is 400619. The reversal of 400608 is 806004.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3691 + ... + 3797.

It is an arithmetic number, because the mean of its divisors is an integer number (17199).

2400608 is an apocalyptic number.

400608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619164).

400608 is an abundant number, since it is smaller than the sum of its proper divisors (837720).

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

400608 is a wasteful number, since it uses less digits than its factorization.

400608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 400608 is about 632.9360157235. The cubic root of 400608 is about 73.7179425933.

The spelling of 400608 in words is "four hundred thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 107 117 144 156 208 214 234 288 312 321 416 428 468 624 642 856 936 963 1248 1284 1391 1712 1872 1926 2568 2782 3424 3744 3852 4173 5136 5564 7704 8346 10272 11128 12519 15408 16692 22256 25038 30816 33384 44512 50076 66768 100152 133536 200304 400608