402946932960 has 1536 divisors, whose sum is σ = 1746979799040. Its totient is φ = 85399142400.

The previous prime is 402946932959. The next prime is 402946933003. The reversal of 402946932960 is 69239649204.

402946932960 is a `hidden beast` number, since 4 + 0 + 294 + 69 + 3 + 296 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 402946932897 and 402946932906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1014979482 + ... + 1014979878.

It is an arithmetic number, because the mean of its divisors is an integer number (1137356640).

Almost surely, 2^402946932960 is an apocalyptic number.

402946932960 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 402946932960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873489899520).

402946932960 is an abundant number, since it is smaller than the sum of its proper divisors (1344032866080).

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

402946932960 is a wasteful number, since it uses less digits than its factorization.

402946932960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 402946932960 in words is "four hundred two billion, nine hundred forty-six million, nine hundred thirty-two thousand, nine hundred sixty".