252077904 has 180 divisors, whose sum is σ = 813565116. Its totient is φ = 72179712.

The previous prime is 252077899. The next prime is 252077941. The reversal of 252077904 is 409770252.

It can be written as a sum of positive squares in 6 ways, for example, as 34574400 + 217503504 = 5880^2 + 14748^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2832292 + ... + 2832380.

Almost surely, 2^252077904 is an apocalyptic number.

252077904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252077904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406782558).

252077904 is an abundant number, since it is smaller than the sum of its proper divisors (561487212).

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

252077904 is a wasteful number, since it uses less digits than its factorization.

252077904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 252077904 is about 15876.9614221362. The cubic root of 252077904 is about 631.7010416413.

The spelling of 252077904 in words is "two hundred fifty-two million, seventy-seven thousand, nine hundred four".