402285747600 has 675 divisors, whose sum is σ = 1585643604545. Its totient is φ = 94377888000.

The previous prime is 402285747593. The next prime is 402285747613. The reversal of 402285747600 is 6747582204.

It is a happy number.

The square root of 402285747600 is 634260.

It is a perfect power (a square), and thus also a powerful number.

402285747600 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 8 + 574 + 76 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 144822869136 + 257462878464 = 380556^2 + 507408^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 12976959585 + ... + 12976959615.

Almost surely, 2^402285747600 is an apocalyptic number.

402285747600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

402285747600 is the 634260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402285747600

402285747600 is an abundant number, since it is smaller than the sum of its proper divisors (1183357856945).

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

402285747600 is an equidigital number, since it uses as much as digits as its factorization.

402285747600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 402285747600 in words is "four hundred two billion, two hundred eighty-five million, seven hundred forty-seven thousand, six hundred".