252369810 has 256 divisors, whose sum is σ = 857088000. Its totient is φ = 51321600.

The previous prime is 252369809. The next prime is 252369827. The reversal of 252369810 is 18963252.

It is a super-2 number, since 2×252369810² = 127381041998872200, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1268091 + ... + 1268289.

It is an arithmetic number, because the mean of its divisors is an integer number (3348000).

Almost surely, 2^252369810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252369810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428544000).

252369810 is an abundant number, since it is smaller than the sum of its proper divisors (604718190).

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

252369810 is a wasteful number, since it uses less digits than its factorization.

252369810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 252369810 is about 15886.1515163365. The cubic root of 252369810 is about 631.9447840053.

The spelling of 252369810 in words is "two hundred fifty-two million, three hundred sixty-nine thousand, eight hundred ten".