251278560 has 288 divisors, whose sum is σ = 955438848. Its totient is φ = 59719680.

The previous prime is 251278543. The next prime is 251278561. The reversal of 251278560 is 65872152.

It is a happy number.

251278560 is a `hidden beast` number, since 2 + 512 + 7 + 85 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251278561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580104 + ... + 580536.

It is an arithmetic number, because the mean of its divisors is an integer number (3317496).

Almost surely, 2^251278560 is an apocalyptic number.

251278560 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 251278560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477719424).

251278560 is an abundant number, since it is smaller than the sum of its proper divisors (704160288).

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

251278560 is a wasteful number, since it uses less digits than its factorization.

251278560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 251278560 is about 15851.7683556126. The cubic root of 251278560 is about 631.0326224696.

The spelling of 251278560 in words is "two hundred fifty-one million, two hundred seventy-eight thousand, five hundred sixty".