251323430400 has 2160 divisors, whose sum is σ = 1160679055536. Its totient is φ = 53508833280.

The previous prime is 251323430399. The next prime is 251323430419. The reversal of 251323430400 is 4034323152.

251323430400 is a `hidden beast` number, since 25 + 1 + 3 + 234 + 3 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2590963152 + ... + 2590963248.

Almost surely, 2^251323430400 is an apocalyptic number.

251323430400 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 251323430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580339527768).

251323430400 is an abundant number, since it is smaller than the sum of its proper divisors (909355625136).

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

251323430400 is an equidigital number, since it uses as much as digits as its factorization.

251323430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 251323430400 its reverse (4034323152), we get a palindrome (255357753552).

The spelling of 251323430400 in words is "two hundred fifty-one billion, three hundred twenty-three million, four hundred thirty thousand, four hundred".