251304874380 has 384 divisors, whose sum is σ = 918156072960. Its totient is φ = 55866654720.

The previous prime is 251304874363. The next prime is 251304874433. The reversal of 251304874380 is 83478403152.

251304874380 is a `hidden beast` number, since 2 + 5 + 130 + 4 + 87 + 438 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53775724 + ... + 53780396.

It is an arithmetic number, because the mean of its divisors is an integer number (2391031440).

Almost surely, 2^251304874380 is an apocalyptic number.

251304874380 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 251304874380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459078036480).

251304874380 is an abundant number, since it is smaller than the sum of its proper divisors (666851198580).

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

251304874380 is a wasteful number, since it uses less digits than its factorization.

251304874380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5086 (or 5078 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 251304874380 in words is "two hundred fifty-one billion, three hundred four million, eight hundred seventy-four thousand, three hundred eighty".