251803968 has 112 divisors (see below), whose sum is σ = 727130880. Its totient is φ = 76437504.

The previous prime is 251803967. The next prime is 251803973. The reversal of 251803968 is 869308152.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251803963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196546 + ... + 197822.

It is an arithmetic number, because the mean of its divisors is an integer number (6492240).

Almost surely, 2^251803968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251803968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363565440).

251803968 is an abundant number, since it is smaller than the sum of its proper divisors (475326912).

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

251803968 is a wasteful number, since it uses less digits than its factorization.

251803968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 251803968 is about 15868.3322375100. The cubic root of 251803968 is about 631.4721330708.

The spelling of 251803968 in words is "two hundred fifty-one million, eight hundred three thousand, nine hundred sixty-eight".