252315000 has 400 divisors, whose sum is σ = 1020610800. Its totient is φ = 57024000.

The previous prime is 252314957. The next prime is 252315017. The reversal of 252315000 is 513252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 2834956 + ... + 2835044.

It is an arithmetic number, because the mean of its divisors is an integer number (2551527).

Almost surely, 2^252315000 is an apocalyptic number.

252315000 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 252315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510305400).

252315000 is an abundant number, since it is smaller than the sum of its proper divisors (768295800).

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

252315000 is an equidigital number, since it uses as much as digits as its factorization.

252315000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 252315000 is about 15884.4263352505. The cubic root of 252315000 is about 631.8990318326.

Adding to 252315000 its reverse (513252), we get a palindrome (252828252).

The spelling of 252315000 in words is "two hundred fifty-two million, three hundred fifteen thousand".