250152000 has 224 divisors, whose sum is σ = 944636160. Its totient is φ = 57139200.

The previous prime is 250151981. The next prime is 250152011. The reversal of 250152000 is 251052.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167256 + ... + 168744.

Almost surely, 2^250152000 is an apocalyptic number.

250152000 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 250152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472318080).

250152000 is an abundant number, since it is smaller than the sum of its proper divisors (694484160).

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

250152000 is a wasteful number, since it uses less digits than its factorization.

250152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 250152000 is about 15816.1942324947. The cubic root of 250152000 is about 630.0881710810.

The spelling of 250152000 in words is "two hundred fifty million, one hundred fifty-two thousand".