251426160 has 160 divisors (see below), whose sum is σ = 886490880. Its totient is φ = 65463552.

The previous prime is 251426113. The next prime is 251426167. The reversal of 251426160 is 61624152.

251426160 is a `hidden beast` number, since 2 + 5 + 1 + 42 + 616 + 0 = 666.

It is a super-2 number, since 2×251426160² = 126430227864691200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251426167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91527 + ... + 94233.

It is an arithmetic number, because the mean of its divisors is an integer number (5540568).

Almost surely, 2^251426160 is an apocalyptic number.

251426160 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 251426160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443245440).

251426160 is an abundant number, since it is smaller than the sum of its proper divisors (635064720).

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

251426160 is a wasteful number, since it uses less digits than its factorization.

251426160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 251426160 is about 15856.4233041377. The cubic root of 251426160 is about 631.1561536141.

The spelling of 251426160 in words is "two hundred fifty-one million, four hundred twenty-six thousand, one hundred sixty".