252252000 has 864 divisors, whose sum is σ = 1223468064. Its totient is φ = 48384000.

The previous prime is 252251983. The next prime is 252252041. The reversal of 252252000 is 252252.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19403994 + ... + 19404006.

It is an arithmetic number, because the mean of its divisors is an integer number (1416051).

Almost surely, 2^252252000 is an apocalyptic number.

252252000 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 252252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611734032).

252252000 is an abundant number, since it is smaller than the sum of its proper divisors (971216064).

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

252252000 is a wasteful number, since it uses less digits than its factorization.

252252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 252252000 is about 15882.4431369988. The cubic root of 252252000 is about 631.8464349428.

252252000 divided by its reverse (252252) gives a cube (1000 = 10³).

It can be divided in two parts, 25225 and 2000, that added together give a square (27225 = 165²).

The spelling of 252252000 in words is "two hundred fifty-two million, two hundred fifty-two thousand".