251482140 has 216 divisors, whose sum is σ = 944824608. Its totient is φ = 53015040.

The previous prime is 251482111. The next prime is 251482159. The reversal of 251482140 is 41284152.

251482140 is a `hidden beast` number, since 2 + 514 + 8 + 2 + 140 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 212350 + ... + 213530.

It is an arithmetic number, because the mean of its divisors is an integer number (4374188).

Almost surely, 2^251482140 is an apocalyptic number.

251482140 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 251482140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472412304).

251482140 is an abundant number, since it is smaller than the sum of its proper divisors (693342468).

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

251482140 is a wasteful number, since it uses less digits than its factorization.

251482140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 251482140 is about 15858.1884211281. The cubic root of 251482140 is about 631.2029924150.

The spelling of 251482140 in words is "two hundred fifty-one million, four hundred eighty-two thousand, one hundred forty".