251140400 has 120 divisors (see below), whose sum is σ = 694226400. Its totient is φ = 85524480.

The previous prime is 251140399. The next prime is 251140459. The reversal of 251140400 is 4041152.

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 23 ways as a sum of consecutive naturals, for example, 719426 + ... + 719774.

It is an arithmetic number, because the mean of its divisors is an integer number (5785220).

Almost surely, 2^251140400 is an apocalyptic number.

251140400 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 251140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347113200).

251140400 is an abundant number, since it is smaller than the sum of its proper divisors (443086000).

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

251140400 is a wasteful number, since it uses less digits than its factorization.

251140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 251140400 is about 15847.4098830061. The cubic root of 251140400 is about 630.9169481218.

Adding to 251140400 its reverse (4041152), we get a palindrome (255181552).

The spelling of 251140400 in words is "two hundred fifty-one million, one hundred forty thousand, four hundred".