406400304 has 40 divisors (see below), whose sum is σ = 1078246960. Its totient is φ = 131804928.

The previous prime is 406400303. The next prime is 406400311. The reversal of 406400304 is 403004604.

It is a super-2 number, since 2×406400304² = 330322414182584832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (406400303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112639 + ... + 116190.

It is an arithmetic number, because the mean of its divisors is an integer number (26956174).

Almost surely, 2^406400304 is an apocalyptic number.

It is an amenable number.

406400304 is an abundant number, since it is smaller than the sum of its proper divisors (671846656).

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

406400304 is a wasteful number, since it uses less digits than its factorization.

406400304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228877 (or 228871 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 406400304 is about 20159.3726092852. The cubic root of 406400304 is about 740.7153443031.

Adding to 406400304 its reverse (403004604), we get a palindrome (809404908).

The spelling of 406400304 in words is "four hundred six million, four hundred thousand, three hundred four".