402960096 has 288 divisors, whose sum is σ = 1483792128. Its totient is φ = 104509440.

The previous prime is 402960053. The next prime is 402960097. The reversal of 402960096 is 690069204.

402960096 is a `hidden beast` number, since 40 + 2 + 9 + 600 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 402960096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402960097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 598416 + ... + 599088.

It is an arithmetic number, because the mean of its divisors is an integer number (5152056).

Almost surely, 2^402960096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402960096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741896064).

402960096 is an abundant number, since it is smaller than the sum of its proper divisors (1080832032).

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

402960096 is a wasteful number, since it uses less digits than its factorization.

402960096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 402960096 is about 20073.8659953682. The cubic root of 402960096 is about 738.6193492058.

The spelling of 402960096 in words is "four hundred two million, nine hundred sixty thousand, ninety-six".