400631652 has 72 divisors (see below), whose sum is σ = 1034945912. Its totient is φ = 130636800.

The previous prime is 400631633. The next prime is 400631657. The reversal of 400631652 is 256136004.

400631652 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 3 + 1 + 652 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31069476 + 369562176 = 5574^2 + 19224^2 .

It is not an unprimeable number, because it can be changed into a prime (400631657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528858 + ... + 529614.

Almost surely, 2^400631652 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 400631652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517472956).

400631652 is an abundant number, since it is smaller than the sum of its proper divisors (634314260).

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

400631652 is a wasteful number, since it uses less digits than its factorization.

400631652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 400631652 is about 20015.7850707885. The cubic root of 400631652 is about 737.1939334023.

Adding to 400631652 its reverse (256136004), we get a palindrome (656767656).

The spelling of 400631652 in words is "four hundred million, six hundred thirty-one thousand, six hundred fifty-two".