333252198400 has 459 divisors, whose sum is σ = 931119077959. Its totient is φ = 118226944000.

The previous prime is 333252198397. The next prime is 333252198407. The reversal of 333252198400 is 4891252333.

The square root of 333252198400 is 577280.

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 140271222784 + 192980975616 = 374528^2 + 439296^2 .

It is a super-2 number, since 2×333252198400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (333252198407) 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, 8128102380 + ... + 8128102420.

Almost surely, 2^333252198400 is an apocalyptic number.

333252198400 is the 577280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 333252198400

333252198400 is an abundant number, since it is smaller than the sum of its proper divisors (597866879559).

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

333252198400 is an frugal number, since it uses more digits than its factorization.

333252198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 333252198400 in words is "three hundred thirty-three billion, two hundred fifty-two million, one hundred ninety-eight thousand, four hundred".