252609120 has 216 divisors, whose sum is σ = 917227584. Its totient is φ = 63295488.

The previous prime is 252609107. The next prime is 252609121. The reversal of 252609120 is 21906252.

252609120 is a `hidden beast` number, since 2 + 52 + 609 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×252609120² = 127622735014348800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252609121) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 415857 + ... + 416463.

It is an arithmetic number, because the mean of its divisors is an integer number (4246424).

Almost surely, 2^252609120 is an apocalyptic number.

252609120 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 252609120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458613792).

252609120 is an abundant number, since it is smaller than the sum of its proper divisors (664618464).

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

252609120 is a wasteful number, since it uses less digits than its factorization.

252609120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 252609120 is about 15893.6817635185. The cubic root of 252609120 is about 632.1444683889.

The spelling of 252609120 in words is "two hundred fifty-two million, six hundred nine thousand, one hundred twenty".