252129360 has 80 divisors (see below), whose sum is σ = 893264256. Its totient is φ = 57629184.

The previous prime is 252129341. The next prime is 252129379. The reversal of 252129360 is 63921252.

It is an interprime number because it is at equal distance from previous prime (252129341) and next prime (252129379).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 73359 + ... + 76718.

Almost surely, 2^252129360 is an apocalyptic number.

252129360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252129360 is an abundant number, since it is smaller than the sum of its proper divisors (641134896).

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

252129360 is a wasteful number, since it uses less digits than its factorization.

252129360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150100 (or 150094 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 252129360 is about 15878.5818006521. The cubic root of 252129360 is about 631.7440212081.

The spelling of 252129360 in words is "two hundred fifty-two million, one hundred twenty-nine thousand, three hundred sixty".