402615630400 has 189 divisors, whose sum is σ = 1027904822139. Its totient is φ = 155208668160.

The previous prime is 402615630397. The next prime is 402615630413. The reversal of 402615630400 is 4036516204.

The square root of 402615630400 is 634520.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5534169664 + 397081460736 = 74392^2 + 630144^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 736042927 + ... + 736043473.

Almost surely, 2^402615630400 is an apocalyptic number.

402615630400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

402615630400 is the 634520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402615630400

402615630400 is an abundant number, since it is smaller than the sum of its proper divisors (625289191739).

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

402615630400 is an frugal number, since it uses more digits than its factorization.

402615630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 402615630400 in words is "four hundred two billion, six hundred fifteen million, six hundred thirty thousand, four hundred".