400455504 has 60 divisors (see below), whose sum is σ = 1127921236. Its totient is φ = 132627456.

The previous prime is 400455499. The next prime is 400455593. The reversal of 400455504 is 405554004.

It can be written as a sum of positive squares in 2 ways, for example, as 262440000 + 138015504 = 16200^2 + 11748^2 .

It is a super-2 number, since 2×400455504² = 320729221367788032, which contains 22 as substring.

It is a congruent number.

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, 13752 + ... + 31464.

Almost surely, 2^400455504 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 400455504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563960618).

400455504 is an abundant number, since it is smaller than the sum of its proper divisors (727465732).

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

400455504 is a wasteful number, since it uses less digits than its factorization.

400455504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17884 (or 17875 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 400455504 is about 20011.3843599087. The cubic root of 400455504 is about 737.0858754790.

The spelling of 400455504 in words is "four hundred million, four hundred fifty-five thousand, five hundred four".