252958464 has 180 divisors, whose sum is σ = 823588920. Its totient is φ = 76584960.

The previous prime is 252958451. The next prime is 252958469. The reversal of 252958464 is 464859252.

252958464 is a `hidden beast` number, since 2 + 5 + 2 + 9 + 584 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252958469) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 227542 + ... + 228650.

It is an arithmetic number, because the mean of its divisors is an integer number (4575494).

Almost surely, 2^252958464 is an apocalyptic number.

252958464 is a gapful number since it is divisible by the number (24) 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 252958464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411794460).

252958464 is an abundant number, since it is smaller than the sum of its proper divisors (570630456).

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

252958464 is a wasteful number, since it uses less digits than its factorization.

252958464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1125 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 252958464 is about 15904.6679940199. The cubic root of 252958464 is about 632.4357407365.

The spelling of 252958464 in words is "two hundred fifty-two million, nine hundred fifty-eight thousand, four hundred sixty-four".