251268480 has 320 divisors, whose sum is σ = 928612080. Its totient is φ = 64696320.

The previous prime is 251268463. The next prime is 251268481. The reversal of 251268480 is 84862152.

251268480 is a `hidden beast` number, since 2 + 512 + 68 + 4 + 80 = 666.

251268480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

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 (251268481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1918015 + ... + 1918145.

Almost surely, 2^251268480 is an apocalyptic number.

251268480 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 251268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464306040).

251268480 is an abundant number, since it is smaller than the sum of its proper divisors (677343600).

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

251268480 is a wasteful number, since it uses less digits than its factorization.

251268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 251268480 is about 15851.4504068240. The cubic root of 251268480 is about 631.0241844319.

The spelling of 251268480 in words is "two hundred fifty-one million, two hundred sixty-eight thousand, four hundred eighty".