325493070400 has 189 divisors, whose sum is σ = 851815725499. Its totient is φ = 122392514560.

The previous prime is 325493070379. The next prime is 325493070401. The reversal of 325493070400 is 4070394523.

The square root of 325493070400 is 570520.

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 7613609536 + 317879460864 = 87256^2 + 563808^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 325493070400.

It is not an unprimeable number, because it can be changed into a prime (325493070401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 387953181 + ... + 387954019.

Almost surely, 2^325493070400 is an apocalyptic number.

325493070400 is the 570520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325493070400

325493070400 is an abundant number, since it is smaller than the sum of its proper divisors (526322655099).

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

325493070400 is an frugal number, since it uses more digits than its factorization.

325493070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The spelling of 325493070400 in words is "three hundred twenty-five billion, four hundred ninety-three million, seventy thousand, four hundred".