251880720 has 320 divisors, whose sum is σ = 1013268480. Its totient is φ = 50264064.

The previous prime is 251880709. The next prime is 251880731. The reversal of 251880720 is 27088152.

It is an interprime number because it is at equal distance from previous prime (251880709) and next prime (251880731).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 414657 + ... + 415263.

It is an arithmetic number, because the mean of its divisors is an integer number (3166464).

Almost surely, 2^251880720 is an apocalyptic number.

251880720 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 251880720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506634240).

251880720 is an abundant number, since it is smaller than the sum of its proper divisors (761387760).

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

251880720 is a wasteful number, since it uses less digits than its factorization.

251880720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 251880720 is about 15870.7504548462. The cubic root of 251880720 is about 631.5362859196.

It can be divided in two parts, 2518 and 80720, that added together give a palindrome (83238).

The spelling of 251880720 in words is "two hundred fifty-one million, eight hundred eighty thousand, seven hundred twenty".