249869880 has 288 divisors, whose sum is σ = 926931600. Its totient is φ = 59844096.

The previous prime is 249869869. The next prime is 249869891. The reversal of 249869880 is 88968942.

It is an interprime number because it is at equal distance from previous prime (249869869) and next prime (249869891).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6753222 + ... + 6753258.

Almost surely, 2^249869880 is an apocalyptic number.

249869880 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 249869880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463465800).

249869880 is an abundant number, since it is smaller than the sum of its proper divisors (677061720).

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

249869880 is a wasteful number, since it uses less digits than its factorization.

249869880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 249869880 is about 15807.2730095991. The cubic root of 249869880 is about 629.8512120288.

The spelling of 249869880 in words is "two hundred forty-nine million, eight hundred sixty-nine thousand, eight hundred eighty".