251254480 has 80 divisors (see below), whose sum is σ = 628174080. Its totient is φ = 93159936.

The previous prime is 251254469. The next prime is 251254513. The reversal of 251254480 is 84452152.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69682 + ... + 73198.

It is an arithmetic number, because the mean of its divisors is an integer number (7852176).

Almost surely, 2^251254480 is an apocalyptic number.

251254480 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 251254480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314087040).

251254480 is an abundant number, since it is smaller than the sum of its proper divisors (376919600).

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

251254480 is a wasteful number, since it uses less digits than its factorization.

251254480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The square root of 251254480 is about 15851.0088007041. The cubic root of 251254480 is about 631.0124645607.

The spelling of 251254480 in words is "two hundred fifty-one million, two hundred fifty-four thousand, four hundred eighty".