408046960 has 20 divisors (see below), whose sum is σ = 948709368. Its totient is φ = 163218752.

The previous prime is 408046931. The next prime is 408046967. The reversal of 408046960 is 69640804.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408046967) 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, 2550214 + ... + 2550373.

Almost surely, 2^408046960 is an apocalyptic number.

408046960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408046960 is an abundant number, since it is smaller than the sum of its proper divisors (540662408).

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

408046960 is a wasteful number, since it uses less digits than its factorization.

408046960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100600 (or 5100594 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 408046960 is about 20200.1722764931. The cubic root of 408046960 is about 741.7144082946.

It can be divided in two parts, 4080 and 46960, that added together give a triangular number (51040 = T₃₁₉).

The spelling of 408046960 in words is "four hundred eight million, forty-six thousand, nine hundred sixty".