407728704 has 56 divisors (see below), whose sum is σ = 1097097120. Its totient is φ = 133602304.

The previous prime is 407728679. The next prime is 407728729. The reversal of 407728704 is 407827704.

It is an interprime number because it is at equal distance from previous prime (407728679) and next prime (407728729).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6669 + ... + 29324.

It is an arithmetic number, because the mean of its divisors is an integer number (19591020).

Almost surely, 2^407728704 is an apocalyptic number.

It is an amenable number.

407728704 is an abundant number, since it is smaller than the sum of its proper divisors (689368416).

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

407728704 is a wasteful number, since it uses less digits than its factorization.

407728704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36067 (or 36057 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 39.

The square root of 407728704 is about 20192.2931832915. The cubic root of 407728704 is about 741.5215248924.

The spelling of 407728704 in words is "four hundred seven million, seven hundred twenty-eight thousand, seven hundred four".