252735120 has 240 divisors, whose sum is σ = 957855360. Its totient is φ = 61205760.

The previous prime is 252735097. The next prime is 252735127. The reversal of 252735120 is 21537252.

252735120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (252735127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260877 + ... + 261843.

It is an arithmetic number, because the mean of its divisors is an integer number (3991064).

Almost surely, 2^252735120 is an apocalyptic number.

252735120 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 252735120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478927680).

252735120 is an abundant number, since it is smaller than the sum of its proper divisors (705120240).

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

252735120 is a wasteful number, since it uses less digits than its factorization.

252735120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 988 counting only the distinct ones).

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

The square root of 252735120 is about 15897.6451086317. The cubic root of 252735120 is about 632.2495542804.

The spelling of 252735120 in words is "two hundred fifty-two million, seven hundred thirty-five thousand, one hundred twenty".