252485376 has 288 divisors, whose sum is σ = 837876480. Its totient is φ = 66908160.

The previous prime is 252485353. The next prime is 252485393. The reversal of 252485376 is 673584252.

It is a super-2 number, since 2×252485376² = 127497730187722752, which contains 22 as substring.

Its product of digits (403200) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13288695 + ... + 13288713.

Almost surely, 2^252485376 is an apocalyptic number.

252485376 is a gapful number since it is divisible by the number (26) 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 252485376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418938240).

252485376 is an abundant number, since it is smaller than the sum of its proper divisors (585391104).

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

252485376 is a wasteful number, since it uses less digits than its factorization.

252485376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 48 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 252485376 is about 15889.7884189815. The cubic root of 252485376 is about 632.0412300186.

The spelling of 252485376 in words is "two hundred fifty-two million, four hundred eighty-five thousand, three hundred seventy-six".