400976064 has 84 divisors (see below), whose sum is σ = 1177427160. Its totient is φ = 130391040.

The previous prime is 400976053. The next prime is 400976083. The reversal of 400976064 is 460679004.

400976064 is a `hidden beast` number, since 40 + 0 + 9 + 7 + 606 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15127 + ... + 32105.

It is an arithmetic number, because the mean of its divisors is an integer number (14016990).

Almost surely, 2^400976064 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 400976064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588713580).

400976064 is an abundant number, since it is smaller than the sum of its proper divisors (776451096).

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

400976064 is a wasteful number, since it uses less digits than its factorization.

400976064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17038 (or 17025 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 400976064 is about 20024.3867321823. The cubic root of 400976064 is about 737.4051213385.

The spelling of 400976064 in words is "four hundred million, nine hundred seventy-six thousand, sixty-four".