251228880 has 180 divisors, whose sum is σ = 981596772. Its totient is φ = 57415680.

The previous prime is 251228869. The next prime is 251228891. The reversal of 251228880 is 88822152.

It is a happy number.

251228880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (251228869) and next prime (251228891).

It can be written as a sum of positive squares in 2 ways, for example, as 37601424 + 213627456 = 6132^2 + 14616^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31720 + ... + 38840.

Almost surely, 2^251228880 is an apocalyptic number.

251228880 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 251228880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490798386).

251228880 is an abundant number, since it is smaller than the sum of its proper divisors (730367892).

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

251228880 is a wasteful number, since it uses less digits than its factorization.

251228880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7154 (or 7138 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 251228880 is about 15850.2012605519. The cubic root of 251228880 is about 630.9910328132.

The spelling of 251228880 in words is "two hundred fifty-one million, two hundred twenty-eight thousand, eight hundred eighty".