251422016400 has 405 divisors, whose sum is σ = 893564086233. Its totient is φ = 65465395200.

The previous prime is 251422016383. The next prime is 251422016401. The reversal of 251422016400 is 4610224152.

The square root of 251422016400 is 501420.

It is a perfect power (a square), and thus also a powerful number.

251422016400 is a `hidden beast` number, since 2 + 5 + 14 + 2 + 2 + 0 + 1 + 640 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 247370948496 + 4051067904 = 497364^2 + 63648^2 .

It is not an unprimeable number, because it can be changed into a prime (251422016401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1835197132 + ... + 1835197268.

Almost surely, 2^251422016400 is an apocalyptic number.

251422016400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

251422016400 is the 501420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251422016400

251422016400 is an abundant number, since it is smaller than the sum of its proper divisors (642142069833).

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

251422016400 is a wasteful number, since it uses less digits than its factorization.

251422016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 251422016400 in words is "two hundred fifty-one billion, four hundred twenty-two million, sixteen thousand, four hundred".