251042400 has 432 divisors, whose sum is σ = 1074868704. Its totient is φ = 53821440.

The previous prime is 251042377. The next prime is 251042411. The reversal of 251042400 is 4240152.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 856654 + ... + 856946.

It is an arithmetic number, because the mean of its divisors is an integer number (2488122).

Almost surely, 2^251042400 is an apocalyptic number.

251042400 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 251042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537434352).

251042400 is an abundant number, since it is smaller than the sum of its proper divisors (823826304).

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

251042400 is a wasteful number, since it uses less digits than its factorization.

251042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 251042400 is about 15844.3175933834. The cubic root of 251042400 is about 630.8348719802.

Adding to 251042400 its reverse (4240152), we get a palindrome (255282552).

The spelling of 251042400 in words is "two hundred fifty-one million, forty-two thousand, four hundred".