250122400 has 144 divisors (see below), whose sum is σ = 682643808. Its totient is φ = 88704000.

The previous prime is 250122371. The next prime is 250122437. The reversal of 250122400 is 4221052.

It is a super-2 number, since 2×250122400² = 125122429963520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378070 + ... + 378730.

It is an arithmetic number, because the mean of its divisors is an integer number (4740582).

Almost surely, 2^250122400 is an apocalyptic number.

250122400 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 250122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341321904).

250122400 is an abundant number, since it is smaller than the sum of its proper divisors (432521408).

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

250122400 is a wasteful number, since it uses less digits than its factorization.

250122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 250122400 is about 15815.2584550490. The cubic root of 250122400 is about 630.0633177312.

Adding to 250122400 its reverse (4221052), we get a palindrome (254343452).

The spelling of 250122400 in words is "two hundred fifty million, one hundred twenty-two thousand, four hundred".