252153480 has 64 divisors (see below), whose sum is σ = 759686400. Its totient is φ = 66954240.

The previous prime is 252153457. The next prime is 252153491. The reversal of 252153480 is 84351252.

It is a super-2 number, since 2×252153480² = 127162754952220800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24561 + ... + 33279.

It is an arithmetic number, because the mean of its divisors is an integer number (11870100).

Almost surely, 2^252153480 is an apocalyptic number.

252153480 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 252153480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379843200).

252153480 is an abundant number, since it is smaller than the sum of its proper divisors (507532920).

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

252153480 is a wasteful number, since it uses less digits than its factorization.

252153480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8974 (or 8970 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 252153480 is about 15879.3412961621. The cubic root of 252153480 is about 631.7641658671.

The spelling of 252153480 in words is "two hundred fifty-two million, one hundred fifty-three thousand, four hundred eighty".