402730584960 has 256 divisors, whose sum is σ = 1420133368320. Its totient is φ = 96256204800.

The previous prime is 402730584947. The next prime is 402730584961. The reversal of 402730584960 is 69485037204.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402730584961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1365234 + ... + 1633806.

It is an arithmetic number, because the mean of its divisors is an integer number (5547395970).

Almost surely, 2^402730584960 is an apocalyptic number.

402730584960 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 402730584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710066684160).

402730584960 is an abundant number, since it is smaller than the sum of its proper divisors (1017402783360).

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

402730584960 is a wasteful number, since it uses less digits than its factorization.

402730584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268677 (or 268665 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 402730584960 in words is "four hundred two billion, seven hundred thirty million, five hundred eighty-four thousand, nine hundred sixty".