251428800 has 252 divisors, whose sum is σ = 960470520. Its totient is φ = 57415680.

The previous prime is 251428799. The next prime is 251428813. The reversal of 251428800 is 8824152.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 234666 + ... + 235734.

Almost surely, 2^251428800 is an apocalyptic number.

251428800 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 251428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480235260).

251428800 is an abundant number, since it is smaller than the sum of its proper divisors (709041720).

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

251428800 is a wasteful number, since it uses less digits than its factorization.

251428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 251428800 is about 15856.5065509399. The cubic root of 251428800 is about 631.1583626740.

The spelling of 251428800 in words is "two hundred fifty-one million, four hundred twenty-eight thousand, eight hundred".