400635252 has 108 divisors (see below), whose sum is σ = 1082696160. Its totient is φ = 124670304.

The previous prime is 400635233. The next prime is 400635281. The reversal of 400635252 is 252536004.

400635252 is a `hidden beast` number, since 4 + 0 + 0 + 635 + 25 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2882199 + ... + 2882337.

Almost surely, 2^400635252 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 400635252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541348080).

400635252 is an abundant number, since it is smaller than the sum of its proper divisors (682060908).

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

400635252 is a wasteful number, since it uses less digits than its factorization.

400635252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 400635252 is about 20015.8749996097. The cubic root of 400635252 is about 737.1961414906.

The spelling of 400635252 in words is "four hundred million, six hundred thirty-five thousand, two hundred fifty-two".