249128880 has 640 divisors, whose sum is σ = 1115928576. Its totient is φ = 44236800.

The previous prime is 249128851. The next prime is 249128909. The reversal of 249128880 is 88821942.

It is an interprime number because it is at equal distance from previous prime (249128851) and next prime (249128909).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4084050 + ... + 4084110.

Almost surely, 2^249128880 is an apocalyptic number.

249128880 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 249128880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557964288).

249128880 is an abundant number, since it is smaller than the sum of its proper divisors (866799696).

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

249128880 is a wasteful number, since it uses less digits than its factorization.

249128880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 249128880 is about 15783.8170288432. The cubic root of 249128880 is about 629.2279784896.

The spelling of 249128880 in words is "two hundred forty-nine million, one hundred twenty-eight thousand, eight hundred eighty".