402120960 has 288 divisors, whose sum is σ = 1395152640. Its totient is φ = 98402304.

The previous prime is 402120913. The next prime is 402120991. The reversal of 402120960 is 69021204.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 402120960.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2561202 + ... + 2561358.

It is an arithmetic number, because the mean of its divisors is an integer number (4844280).

Almost surely, 2^402120960 is an apocalyptic number.

402120960 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 402120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697576320).

402120960 is an abundant number, since it is smaller than the sum of its proper divisors (993031680).

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

402120960 is a wasteful number, since it uses less digits than its factorization.

402120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 402120960 is about 20052.9538971195. The cubic root of 402120960 is about 738.1062853217.

The spelling of 402120960 in words is "four hundred two million, one hundred twenty thousand, nine hundred sixty".