400415664 has 40 divisors (see below), whose sum is σ = 1128445632. Its totient is φ = 121337920.

The previous prime is 400415641. The next prime is 400415677. The reversal of 400415664 is 466514004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378654 + ... + 379709.

Almost surely, 2^400415664 is an apocalyptic number.

400415664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400415664 is an abundant number, since it is smaller than the sum of its proper divisors (728029968).

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

400415664 is a wasteful number, since it uses less digits than its factorization.

400415664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758385 (or 758379 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 400415664 is about 20010.3889017680. The cubic root of 400415664 is about 737.0614312525.

Adding to 400415664 its reverse (466514004), we get a palindrome (866929668).

The spelling of 400415664 in words is "four hundred million, four hundred fifteen thousand, six hundred sixty-four".