251474720 has 96 divisors (see below), whose sum is σ = 685335168. Its totient is φ = 85413888.

The previous prime is 251474711. The next prime is 251474723. The reversal of 251474720 is 27474152.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (251474723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125567 + ... + 127553.

It is an arithmetic number, because the mean of its divisors is an integer number (7138908).

Almost surely, 2^251474720 is an apocalyptic number.

251474720 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 251474720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342667584).

251474720 is an abundant number, since it is smaller than the sum of its proper divisors (433860448).

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

251474720 is a wasteful number, since it uses less digits than its factorization.

251474720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 32.

The square root of 251474720 is about 15857.9544708641. The cubic root of 251474720 is about 631.1967844562.

The spelling of 251474720 in words is "two hundred fifty-one million, four hundred seventy-four thousand, seven hundred twenty".