249650880 has 112 divisors (see below), whose sum is σ = 834420480. Its totient is φ = 63065088.

The previous prime is 249650837. The next prime is 249650893. The reversal of 249650880 is 88056942.

249650880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11397 + ... + 25083.

Almost surely, 2^249650880 is an apocalyptic number.

249650880 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 249650880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417210240).

249650880 is an abundant number, since it is smaller than the sum of its proper divisors (584769600).

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

249650880 is a wasteful number, since it uses less digits than its factorization.

249650880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13726 (or 13716 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 249650880 is about 15800.3443000461. The cubic root of 249650880 is about 629.6671459144.

The spelling of 249650880 in words is "two hundred forty-nine million, six hundred fifty thousand, eight hundred eighty".