249509880 has 96 divisors (see below), whose sum is σ = 816987600. Its totient is φ = 66037248.

The previous prime is 249509873. The next prime is 249509893. The reversal of 249509880 is 88905942.

It is a super-2 number, since 2×249509880² = 124510360435228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46791 + ... + 51849.

Almost surely, 2^249509880 is an apocalyptic number.

249509880 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 249509880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408493800).

249509880 is an abundant number, since it is smaller than the sum of its proper divisors (567477720).

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

249509880 is a wasteful number, since it uses less digits than its factorization.

249509880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5213 (or 5206 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 249509880 is about 15795.8817417705. The cubic root of 249509880 is about 629.5485806239.

The spelling of 249509880 in words is "two hundred forty-nine million, five hundred nine thousand, eight hundred eighty".