407659680 has 72 divisors (see below), whose sum is σ = 1391143572. Its totient is φ = 108708864.

The previous prime is 407659661. The next prime is 407659709. The reversal of 407659680 is 86956704.

It can be written as a sum of positive squares in 2 ways, for example, as 403045776 + 4613904 = 20076^2 + 2148^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140109 + ... + 142988.

Almost surely, 2^407659680 is an apocalyptic number.

407659680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407659680 is an abundant number, since it is smaller than the sum of its proper divisors (983483892).

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

407659680 is a wasteful number, since it uses less digits than its factorization.

407659680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283118 (or 283107 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 407659680 is about 20190.5839440072. The cubic root of 407659680 is about 741.4796787091.

The spelling of 407659680 in words is "four hundred seven million, six hundred fifty-nine thousand, six hundred eighty".