251304480 has 288 divisors, whose sum is σ = 993492864. Its totient is φ = 56659968.

The previous prime is 251304479. The next prime is 251304497. The reversal of 251304480 is 84403152.

251304480 is digitally balanced in base 2, 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 (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1078444 + ... + 1078676.

It is an arithmetic number, because the mean of its divisors is an integer number (3449628).

Almost surely, 2^251304480 is an apocalyptic number.

251304480 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 251304480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496746432).

251304480 is an abundant number, since it is smaller than the sum of its proper divisors (742188384).

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

251304480 is a wasteful number, since it uses less digits than its factorization.

251304480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 251304480 is about 15852.5859089298. The cubic root of 251304480 is about 631.0543192447.

The spelling of 251304480 in words is "two hundred fifty-one million, three hundred four thousand, four hundred eighty".