252468000 has 144 divisors (see below), whose sum is σ = 896136696. Its totient is φ = 67315200.

The previous prime is 252467981. The next prime is 252468017. The reversal of 252468000 is 864252.

It can be written as a sum of positive squares in 4 ways, for example, as 120033936 + 132434064 = 10956^2 + 11508^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32494 + ... + 39506.

Almost surely, 2^252468000 is an apocalyptic number.

252468000 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 252468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448068348).

252468000 is an abundant number, since it is smaller than the sum of its proper divisors (643668696).

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

252468000 is a wasteful number, since it uses less digits than its factorization.

252468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7044 (or 7023 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 252468000 is about 15889.2416433258. The cubic root of 252468000 is about 632.0267306966.

The spelling of 252468000 in words is "two hundred fifty-two million, four hundred sixty-eight thousand".