407612960 has 24 divisors (see below), whose sum is σ = 962985996. Its totient is φ = 163045120.

The previous prime is 407612957. The next prime is 407612963. The reversal of 407612960 is 69216704.

It is an interprime number because it is at equal distance from previous prime (407612957) and next prime (407612963).

It can be written as a sum of positive squares in 2 ways, for example, as 399840016 + 7772944 = 19996^2 + 2788^2 .

It is a super-2 number, since 2×407612960² = 332296650319923200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 407612960.

It is not an unprimeable number, because it can be changed into a prime (407612963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1273631 + ... + 1273950.

Almost surely, 2^407612960 is an apocalyptic number.

407612960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407612960 is an abundant number, since it is smaller than the sum of its proper divisors (555373036).

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

407612960 is a wasteful number, since it uses less digits than its factorization.

407612960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547596 (or 2547588 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 407612960 is about 20189.4269358989. The cubic root of 407612960 is about 741.4513517690.

The spelling of 407612960 in words is "four hundred seven million, six hundred twelve thousand, nine hundred sixty".