251283648 has 224 divisors, whose sum is σ = 866119680. Its totient is φ = 62346240.

The previous prime is 251283631. The next prime is 251283649. The reversal of 251283648 is 846382152.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251283649) 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 31 ways as a sum of consecutive naturals, for example, 339663 + ... + 340401.

Almost surely, 2^251283648 is an apocalyptic number.

251283648 is a gapful number since it is divisible by the number (28) 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 251283648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433059840).

251283648 is an abundant number, since it is smaller than the sum of its proper divisors (614836032).

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

251283648 is a wasteful number, since it uses less digits than its factorization.

251283648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 785 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 251283648 is about 15851.9288416268. The cubic root of 251283648 is about 631.0368815839.

The spelling of 251283648 in words is "two hundred fifty-one million, two hundred eighty-three thousand, six hundred forty-eight".