407406728 has 32 divisors (see below), whose sum is σ = 800755200. Its totient is φ = 193953408.

The previous prime is 407406719. The next prime is 407406731. The reversal of 407406728 is 827604704.

It is a junction number, because it is equal to n+sod(n) for n = 407406691 and 407406700.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36068 + ... + 45996.

It is an arithmetic number, because the mean of its divisors is an integer number (25023600).

Almost surely, 2^407406728 is an apocalyptic number.

It is an amenable number.

407406728 is a deficient number, since it is larger than the sum of its proper divisors (393348472).

407406728 is a wasteful number, since it uses less digits than its factorization.

407406728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10181 (or 10177 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 407406728 is about 20184.3188639102. The cubic root of 407406728 is about 741.3262847684.

The spelling of 407406728 in words is "four hundred seven million, four hundred six thousand, seven hundred twenty-eight".