252549900 has 216 divisors, whose sum is σ = 865708480. Its totient is φ = 63685440.

The previous prime is 252549887. The next prime is 252549917. The reversal of 252549900 is 9945252.

It is a happy number.

252549900 is a `hidden beast` number, since 2 + 525 + 49 + 90 + 0 = 666.

252549900 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 461427 + ... + 461973.

Almost surely, 2^252549900 is an apocalyptic number.

252549900 is a gapful number since it is divisible by the number (20) 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 252549900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432854240).

252549900 is an abundant number, since it is smaller than the sum of its proper divisors (613158580).

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

252549900 is a wasteful number, since it uses less digits than its factorization.

252549900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 252549900 is about 15891.8186498588. The cubic root of 252549900 is about 632.0950659483.

It can be divided in two parts, 2525 and 49900, that added together give a palindrome (52425).

The spelling of 252549900 in words is "two hundred fifty-two million, five hundred forty-nine thousand, nine hundred".