251143464 has 128 divisors (see below), whose sum is σ = 743702400. Its totient is φ = 70087680.

The previous prime is 251143447. The next prime is 251143481. The reversal of 251143464 is 464341152.

It is an interprime number because it is at equal distance from previous prime (251143447) and next prime (251143481).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 579792 + ... + 580224.

It is an arithmetic number, because the mean of its divisors is an integer number (5810175).

Almost surely, 2^251143464 is an apocalyptic number.

251143464 is a gapful number since it is divisible by the number (24) 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 251143464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371851200).

251143464 is an abundant number, since it is smaller than the sum of its proper divisors (492558936).

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

251143464 is a wasteful number, since it uses less digits than its factorization.

251143464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 462 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 251143464 is about 15847.5065546603. The cubic root of 251143464 is about 630.9195139133.

The spelling of 251143464 in words is "two hundred fifty-one million, one hundred forty-three thousand, four hundred sixty-four".