252084326400 has 351 divisors, whose sum is σ = 904641553569. Its totient is φ = 67093954560.

The previous prime is 252084326393. The next prime is 252084326419. The reversal of 252084326400 is 4623480252.

The square root of 252084326400 is 502080.

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

252084326400 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 8 + 4 + 3 + 2 + 640 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90750357504 + 161333968896 = 301248^2 + 401664^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 481996539 + ... + 481997061.

Almost surely, 2^252084326400 is an apocalyptic number.

252084326400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

252084326400 is the 502080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252084326400

252084326400 is an abundant number, since it is smaller than the sum of its proper divisors (652557227169).

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

252084326400 is an frugal number, since it uses more digits than its factorization.

252084326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Multiplying 252084326400 by its sum of digits (36), we get a square (9075035750400 = 3012480²).

252084326400 divided by its sum of digits (36) gives a square (7002342400 = 83680²).

The spelling of 252084326400 in words is "two hundred fifty-two billion, eighty-four million, three hundred twenty-six thousand, four hundred".