400075956 has 192 divisors, whose sum is σ = 1255260160. Its totient is φ = 107775360.

The previous prime is 400075939. The next prime is 400075957. The reversal of 400075956 is 659570004.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 400075956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400075957) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1007550 + ... + 1007946.

Almost surely, 2^400075956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400075956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627630080).

400075956 is an abundant number, since it is smaller than the sum of its proper divisors (855184204).

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

400075956 is a wasteful number, since it uses less digits than its factorization.

400075956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 400075956 is about 20001.8988098630. The cubic root of 400075956 is about 736.8529341591.

The spelling of 400075956 in words is "four hundred million, seventy-five thousand, nine hundred fifty-six".