407980416 has 64 divisors (see below), whose sum is σ = 1147463280. Its totient is φ = 127991808.

The previous prime is 407980403. The next prime is 407980427. The reversal of 407980416 is 614089704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 24721 + ... + 37776.

Almost surely, 2^407980416 is an apocalyptic number.

It is an amenable number.

407980416 is an abundant number, since it is smaller than the sum of its proper divisors (739482864).

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

407980416 is a wasteful number, since it uses less digits than its factorization.

407980416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62531 (or 62519 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 407980416 is about 20198.5250946697. The cubic root of 407980416 is about 741.6740866881.

The spelling of 407980416 in words is "four hundred seven million, nine hundred eighty thousand, four hundred sixteen".