251214080 has 144 divisors (see below), whose sum is σ = 670301184. Its totient is φ = 89579520.

The previous prime is 251214079. The next prime is 251214091. The reversal of 251214080 is 80412152.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 515597 + ... + 516083.

Almost surely, 2^251214080 is an apocalyptic number.

251214080 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 251214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335150592).

251214080 is an abundant number, since it is smaller than the sum of its proper divisors (419087104).

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

251214080 is a wasteful number, since it uses less digits than its factorization.

251214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 251214080 is about 15849.7343826324. The cubic root of 251214080 is about 630.9786419200.

The spelling of 251214080 in words is "two hundred fifty-one million, two hundred fourteen thousand, eighty".