407856072 has 64 divisors (see below), whose sum is σ = 1103760000. Its totient is φ = 124844544.

The previous prime is 407856049. The next prime is 407856089. The reversal of 407856072 is 270658704.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 407856072.

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, 58804 + ... + 65372.

It is an arithmetic number, because the mean of its divisors is an integer number (17246250).

Almost surely, 2^407856072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407856072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551880000).

407856072 is an abundant number, since it is smaller than the sum of its proper divisors (695903928).

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

407856072 is a wasteful number, since it uses less digits than its factorization.

407856072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6790 (or 6786 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 407856072 is about 20195.4468135766. The cubic root of 407856072 is about 741.5987300535.

The spelling of 407856072 in words is "four hundred seven million, eight hundred fifty-six thousand, seventy-two".