252151200 has 216 divisors, whose sum is σ = 1016372448. Its totient is φ = 57623040.

The previous prime is 252151199. The next prime is 252151243. The reversal of 252151200 is 2151252.

It is a super-2 number, since 2×252151200² = 127160455322880000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47899 + ... + 52901.

It is an arithmetic number, because the mean of its divisors is an integer number (4705428).

Almost surely, 2^252151200 is an apocalyptic number.

252151200 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 252151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508186224).

252151200 is an abundant number, since it is smaller than the sum of its proper divisors (764221248).

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

252151200 is a wasteful number, since it uses less digits than its factorization.

252151200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5036 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 252151200 is about 15879.2695046088. The cubic root of 252151200 is about 631.7622617006.

The spelling of 252151200 in words is "two hundred fifty-two million, one hundred fifty-one thousand, two hundred".