250058400 has 144 divisors (see below), whose sum is σ = 840446208. Its totient is φ = 64512000.

The previous prime is 250058371. The next prime is 250058401. The reversal of 250058400 is 4850052.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (250058401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72720 + ... + 76080.

It is an arithmetic number, because the mean of its divisors is an integer number (5836432).

Almost surely, 2^250058400 is an apocalyptic number.

250058400 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 250058400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420223104).

250058400 is an abundant number, since it is smaller than the sum of its proper divisors (590387808).

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

250058400 is a wasteful number, since it uses less digits than its factorization.

250058400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 250058400 is about 15813.2349631567. The cubic root of 250058400 is about 630.0095740546.

The spelling of 250058400 in words is "two hundred fifty million, fifty-eight thousand, four hundred".