252882000 has 400 divisors, whose sum is σ = 1048599552. Its totient is φ = 57542400.

The previous prime is 252881983. The next prime is 252882017. The reversal of 252882000 is 288252.

It is an interprime number because it is at equal distance from previous prime (252881983) and next prime (252882017).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1133889 + ... + 1134111.

Almost surely, 2^252882000 is an apocalyptic number.

252882000 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 252882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524299776).

252882000 is an abundant number, since it is smaller than the sum of its proper divisors (795717552).

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

252882000 is a wasteful number, since it uses less digits than its factorization.

252882000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 252882000 is about 15902.2639897594. The cubic root of 252882000 is about 632.3720103264.

The spelling of 252882000 in words is "two hundred fifty-two million, eight hundred eighty-two thousand".