250251120 has 280 divisors, whose sum is σ = 998599776. Its totient is φ = 57106944.

The previous prime is 250251103. The next prime is 250251139. The reversal of 250251120 is 21152052.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×250251120² = 125251246122508800, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 250251093 and 250251102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 407934 + ... + 408546.

Almost surely, 2^250251120 is an apocalyptic number.

250251120 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 250251120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499299888).

250251120 is an abundant number, since it is smaller than the sum of its proper divisors (748348656).

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

250251120 is an equidigital number, since it uses as much as digits as its factorization.

250251120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 250251120 is about 15819.3274193311. The cubic root of 250251120 is about 630.1713819453.

The spelling of 250251120 in words is "two hundred fifty million, two hundred fifty-one thousand, one hundred twenty".