400415568 has 80 divisors (see below), whose sum is σ = 1186638336. Its totient is φ = 113973120.

The previous prime is 400415551. The next prime is 400415573. The reversal of 400415568 is 865514004.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 92983 + ... + 97193.

Almost surely, 2^400415568 is an apocalyptic number.

400415568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400415568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593319168).

400415568 is an abundant number, since it is smaller than the sum of its proper divisors (786222768).

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

400415568 is a wasteful number, since it uses less digits than its factorization.

400415568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4512 (or 4506 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 400415568 is about 20010.3865030139. The cubic root of 400415568 is about 737.0613723487.

The spelling of 400415568 in words is "four hundred million, four hundred fifteen thousand, five hundred sixty-eight".