402292488960 has 432 divisors, whose sum is σ = 1432144494144. Its totient is φ = 104215707648.

The previous prime is 402292488947. The next prime is 402292488971. The reversal of 402292488960 is 69884292204.

402292488960 is a `hidden beast` number, since 40 + 229 + 248 + 89 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 402292488897 and 402292488906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62884482 + ... + 62890878.

It is an arithmetic number, because the mean of its divisors is an integer number (3315149292).

Almost surely, 2^402292488960 is an apocalyptic number.

402292488960 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 402292488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716072247072).

402292488960 is an abundant number, since it is smaller than the sum of its proper divisors (1029852005184).

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

402292488960 is a wasteful number, since it uses less digits than its factorization.

402292488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6580 (or 6563 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 402292488960 in words is "four hundred two billion, two hundred ninety-two million, four hundred eighty-eight thousand, nine hundred sixty".