252573120 has 448 divisors, whose sum is σ = 983162880. Its totient is φ = 60825600.

The previous prime is 252573091. The next prime is 252573127. The reversal of 252573120 is 21375252.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252573127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6160300 + ... + 6160340.

It is an arithmetic number, because the mean of its divisors is an integer number (2194560).

Almost surely, 2^252573120 is an apocalyptic number.

252573120 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 252573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491581440).

252573120 is an abundant number, since it is smaller than the sum of its proper divisors (730589760).

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

252573120 is a wasteful number, since it uses less digits than its factorization.

252573120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 252573120 is about 15892.5491976586. The cubic root of 252573120 is about 632.1144374304.

The spelling of 252573120 in words is "two hundred fifty-two million, five hundred seventy-three thousand, one hundred twenty".