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400440 = 23354771
BaseRepresentation
bin1100001110000111000
3202100022010
41201300320
5100303230
612325520
73255315
oct1416070
9670263
10400440
11253947
121738a0
13110361
14a5d0c
157d9b0
hex61c38

400440 has 64 divisors (see below), whose sum is σ = 1244160. Its totient is φ = 103040.

The previous prime is 400429. The next prime is 400441. The reversal of 400440 is 44004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

400440 is a modest number, since divided by 440 gives 40 as remainder.

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 (400441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5605 + ... + 5675.

It is an arithmetic number, because the mean of its divisors is an integer number (19440).

2400440 is an apocalyptic number.

400440 is a gapful number since it is divisible by the number (40) 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 400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622080).

400440 is an abundant number, since it is smaller than the sum of its proper divisors (843720).

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

400440 is a wasteful number, since it uses less digits than its factorization.

400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 400440 is about 632.8032869700. The cubic root of 400440 is about 73.7076363039.

Adding to 400440 its reverse (44004), we get a palindrome (444444).

The spelling of 400440 in words is "four hundred thousand, four hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 71 94 120 141 142 188 213 235 282 284 355 376 426 470 564 568 705 710 852 940 1065 1128 1410 1420 1704 1880 2130 2820 2840 3337 4260 5640 6674 8520 10011 13348 16685 20022 26696 33370 40044 50055 66740 80088 100110 133480 200220 400440