405016960 has 32 divisors (see below), whose sum is σ = 968245200. Its totient is φ = 162006528.

The previous prime is 405016933. The next prime is 405016961. The reversal of 405016960 is 69610504.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405016961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 315780 + ... + 317059.

Almost surely, 2^405016960 is an apocalyptic number.

405016960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405016960 is an abundant number, since it is smaller than the sum of its proper divisors (563228240).

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

405016960 is an equidigital number, since it uses as much as digits as its factorization.

405016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632858 (or 632846 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 405016960 is about 20125.0331676745. The cubic root of 405016960 is about 739.8739497986.

The spelling of 405016960 in words is "four hundred five million, sixteen thousand, nine hundred sixty".