202068230400 has 243 divisors, whose sum is σ = 722825447799. Its totient is φ = 53856092160.

The previous prime is 202068230393. The next prime is 202068230411. The reversal of 202068230400 is 4032860202.

The square root of 202068230400 is 449520.

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

202068230400 is a `hidden beast` number, since 2 + 0 + 20 + 6 + 8 + 230 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 96656322816 + 105411907584 = 310896^2 + 324672^2 .

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, 107883864 + ... + 107885736.

Almost surely, 2^202068230400 is an apocalyptic number.

202068230400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

202068230400 is the 449520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202068230400

202068230400 is an abundant number, since it is smaller than the sum of its proper divisors (520757217399).

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

202068230400 is an frugal number, since it uses more digits than its factorization.

202068230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 202068230400 in words is "two hundred two billion, sixty-eight million, two hundred thirty thousand, four hundred".