251048448 has 240 divisors, whose sum is σ = 851987136. Its totient is φ = 69672960.

The previous prime is 251048437. The next prime is 251048507. The reversal of 251048448 is 844840152.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 1386918 + ... + 1387098.

Almost surely, 2^251048448 is an apocalyptic number.

251048448 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 251048448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425993568).

251048448 is an abundant number, since it is smaller than the sum of its proper divisors (600938688).

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

251048448 is a wasteful number, since it uses less digits than its factorization.

251048448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 251048448 is about 15844.5084493019. The cubic root of 251048448 is about 630.8399378691.

The spelling of 251048448 in words is "two hundred fifty-one million, forty-eight thousand, four hundred forty-eight".