250624920 has 256 divisors, whose sum is σ = 943488000. Its totient is φ = 51849216.

The previous prime is 250624919. The next prime is 250624921. The reversal of 250624920 is 29426052.

It is an interprime number because it is at equal distance from previous prime (250624919) and next prime (250624921).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250624921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 644086 + ... + 644474.

It is an arithmetic number, because the mean of its divisors is an integer number (3685500).

Almost surely, 2^250624920 is an apocalyptic number.

250624920 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 250624920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744000).

250624920 is an abundant number, since it is smaller than the sum of its proper divisors (692863080).

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

250624920 is a wasteful number, since it uses less digits than its factorization.

250624920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 250624920 is about 15831.1376723216. The cubic root of 250624920 is about 630.4849881015.

The spelling of 250624920 in words is "two hundred fifty million, six hundred twenty-four thousand, nine hundred twenty".