251863456 has 48 divisors (see below), whose sum is σ = 536936904. Its totient is φ = 115605504.

The previous prime is 251863453. The next prime is 251863457. The reversal of 251863456 is 654368152.

It can be written as a sum of positive squares in 4 ways, for example, as 222487056 + 29376400 = 14916^2 + 5420^2 .

It is not an unprimeable number, because it can be changed into a prime (251863453) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78720 + ... + 81856.

Almost surely, 2^251863456 is an apocalyptic number.

251863456 is a gapful number since it is divisible by the number (26) 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 251863456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268468452).

251863456 is an abundant number, since it is smaller than the sum of its proper divisors (285073448).

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

251863456 is a wasteful number, since it uses less digits than its factorization.

251863456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3353 (or 3345 counting only the distinct ones).

The product of its digits is 172800, while the sum is 40.

The square root of 251863456 is about 15870.2065519010. The cubic root of 251863456 is about 631.5218570111.

The spelling of 251863456 in words is "two hundred fifty-one million, eight hundred sixty-three thousand, four hundred fifty-six".