252697320 has 160 divisors (see below), whose sum is σ = 886533120. Its totient is φ = 64437120.

The previous prime is 252697303. The next prime is 252697327. The reversal of 252697320 is 23796252.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252697327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72825 + ... + 76215.

It is an arithmetic number, because the mean of its divisors is an integer number (5540832).

Almost surely, 2^252697320 is an apocalyptic number.

252697320 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 252697320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443266560).

252697320 is an abundant number, since it is smaller than the sum of its proper divisors (633835800).

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

252697320 is a wasteful number, since it uses less digits than its factorization.

252697320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3437 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 252697320 is about 15896.4562088536. The cubic root of 252697320 is about 632.2180321809.

The spelling of 252697320 in words is "two hundred fifty-two million, six hundred ninety-seven thousand, three hundred twenty".