407479728 has 20 divisors (see below), whose sum is σ = 1052656088. Its totient is φ = 135826560.

The previous prime is 407479703. The next prime is 407479769. The reversal of 407479728 is 827974704.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 8489161 = 407479728 / (4 + 0 + 7 + 4 + 7 + 9 + 7 + 2 + 8).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4244533 + ... + 4244628.

Almost surely, 2^407479728 is an apocalyptic number.

407479728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

407479728 is an abundant number, since it is smaller than the sum of its proper divisors (645176360).

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

407479728 is a wasteful number, since it uses less digits than its factorization.

407479728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8489172 (or 8489166 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The square root of 407479728 is about 20186.1271174042. The cubic root of 407479728 is about 741.3705595951.

The spelling of 407479728 in words is "four hundred seven million, four hundred seventy-nine thousand, seven hundred twenty-eight".