251350240 has 96 divisors (see below), whose sum is σ = 632772000. Its totient is φ = 94076928.

The previous prime is 251350217. The next prime is 251350241. The reversal of 251350240 is 42053152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251350241) 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, 270096 + ... + 271024.

It is an arithmetic number, because the mean of its divisors is an integer number (6591375).

Almost surely, 2^251350240 is an apocalyptic number.

251350240 is a gapful number since it is divisible by the number (20) 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 251350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316386000).

251350240 is an abundant number, since it is smaller than the sum of its proper divisors (381421760).

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

251350240 is a wasteful number, since it uses less digits than its factorization.

251350240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 251350240 is about 15854.0291408840. The cubic root of 251350240 is about 631.0926197863.

The spelling of 251350240 in words is "two hundred fifty-one million, three hundred fifty thousand, two hundred forty".