252494100 has 54 divisors (see below), whose sum is σ = 791431550. Its totient is φ = 67331520.

The previous prime is 252494083. The next prime is 252494117. The reversal of 252494100 is 1494252.

252494100 is a `hidden beast` number, since 2 + 5 + 249 + 410 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (252494083) and next prime (252494117).

It can be written as a sum of positive squares in 3 ways, for example, as 33039504 + 219454596 = 5748^2 + 14814^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 139375 + ... + 141174.

Almost surely, 2^252494100 is an apocalyptic number.

252494100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252494100 is an abundant number, since it is smaller than the sum of its proper divisors (538937450).

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

252494100 is a wasteful number, since it uses less digits than its factorization.

252494100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280569 (or 280559 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 252494100 is about 15890.0629325374. The cubic root of 252494100 is about 632.0485094689.

The spelling of 252494100 in words is "two hundred fifty-two million, four hundred ninety-four thousand, one hundred".