400413304 has 64 divisors (see below), whose sum is σ = 795018240. Its totient is φ = 188872320.

The previous prime is 400413289. The next prime is 400413313. The reversal of 400413304 is 403314004.

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, 1414747 + ... + 1415029.

It is an arithmetic number, because the mean of its divisors is an integer number (12422160).

Almost surely, 2^400413304 is an apocalyptic number.

It is an amenable number.

400413304 is a deficient number, since it is larger than the sum of its proper divisors (394604936).

400413304 is a wasteful number, since it uses less digits than its factorization.

400413304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 400413304 is about 20010.3299323125. The cubic root of 400413304 is about 737.0599832002.

Adding to 400413304 its reverse (403314004), we get a palindrome (803727308).

The spelling of 400413304 in words is "four hundred million, four hundred thirteen thousand, three hundred four".