400332564 has 48 divisors (see below), whose sum is σ = 1044312640. Its totient is φ = 132619680.

The previous prime is 400332557. The next prime is 400332587. The reversal of 400332564 is 465233004.

400332564 is a `hidden beast` number, since 400 + 3 + 3 + 256 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6234 + ... + 28974.

Almost surely, 2^400332564 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 400332564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522156320).

400332564 is an abundant number, since it is smaller than the sum of its proper divisors (643980076).

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

400332564 is a wasteful number, since it uses less digits than its factorization.

400332564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22917 (or 22909 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 400332564 is about 20008.3123726115. The cubic root of 400332564 is about 737.0104392059.

Adding to 400332564 its reverse (465233004), we get a palindrome (865565568).

The spelling of 400332564 in words is "four hundred million, three hundred thirty-two thousand, five hundred sixty-four".