402960 has 80 divisors (see below), whose sum is σ = 1321344. Its totient is φ = 101376.

The previous prime is 402949. The next prime is 402991. The reversal of 402960 is 69204.

402960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 402960.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5484 + ... + 5556.

2⁴⁰²⁹⁶⁰ is an apocalyptic number.

402960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660672).

402960 is an abundant number, since it is smaller than the sum of its proper divisors (918384).

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

402960 is a wasteful number, since it uses less digits than its factorization.

402960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 402960 is about 634.7913042883. The cubic root of 402960 is about 73.8619290550.

The spelling of 402960 in words is "four hundred two thousand, nine hundred sixty".