251946240 has 432 divisors, whose sum is σ = 1017813888. Its totient is φ = 52641792.

The previous prime is 251946223. The next prime is 251946263. The reversal of 251946240 is 42649152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2446029 + ... + 2446131.

Almost surely, 2^251946240 is an apocalyptic number.

251946240 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 251946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508906944).

251946240 is an abundant number, since it is smaller than the sum of its proper divisors (765867648).

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

251946240 is a wasteful number, since it uses less digits than its factorization.

251946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 251946240 is about 15872.8144952305. The cubic root of 251946240 is about 631.5910402363.

The spelling of 251946240 in words is "two hundred fifty-one million, nine hundred forty-six thousand, two hundred forty".