254147056900 has 81 divisors (see below), whose sum is σ = 606325539253. Its totient is φ = 92396946400.

The previous prime is 254147056879. The next prime is 254147056913. The reversal of 254147056900 is 9650741452.

The square root of 254147056900 is 504130.

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

It can be written as a sum of positive squares in only one way, i.e., 91492940484 + 162654116416 = 302478^2 + 403304^2 .

It is a super-2 number, since 2×254147056900² (a number of 24 digits) contains 22 as substring.

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, 55452009 + ... + 55456591.

Almost surely, 2^254147056900 is an apocalyptic number.

254147056900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

254147056900 is the 504130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254147056900

254147056900 is an abundant number, since it is smaller than the sum of its proper divisors (352178482353).

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

254147056900 is an equidigital number, since it uses as much as digits as its factorization.

254147056900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9202 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 254147056900 in words is "two hundred fifty-four billion, one hundred forty-seven million, fifty-six thousand, nine hundred".