400932576 has 144 divisors (see below), whose sum is σ = 1251065088. Its totient is φ = 120787200.

The previous prime is 400932551. The next prime is 400932577. The reversal of 400932576 is 675239004.

It is a tau number, because it is divible by the number of its divisors (144).

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 400932576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400932577) 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, 858295 + ... + 858761.

It is an arithmetic number, because the mean of its divisors is an integer number (8687952).

Almost surely, 2^400932576 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 400932576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625532544).

400932576 is an abundant number, since it is smaller than the sum of its proper divisors (850132512).

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

400932576 is a wasteful number, since it uses less digits than its factorization.

400932576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 400932576 is about 20023.3008267868. The cubic root of 400932576 is about 737.3784618641.

It can be divided in two parts, 4009 and 32576, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 400932576 in words is "four hundred million, nine hundred thirty-two thousand, five hundred seventy-six".