249545880 has 128 divisors (see below), whose sum is σ = 836280000. Its totient is φ = 66189312.

The previous prime is 249545861. The next prime is 249545897. The reversal of 249545880 is 88545942.

249545880 is a `hidden beast` number, since 24 + 9 + 545 + 8 + 80 = 666.

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 31 ways as a sum of consecutive naturals, for example, 246816 + ... + 247824.

Almost surely, 2^249545880 is an apocalyptic number.

249545880 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 249545880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418140000).

249545880 is an abundant number, since it is smaller than the sum of its proper divisors (586734120).

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

249545880 is a wasteful number, since it uses less digits than its factorization.

249545880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 249545880 is about 15797.0212381955. The cubic root of 249545880 is about 629.5788568585.

The spelling of 249545880 in words is "two hundred forty-nine million, five hundred forty-five thousand, eight hundred eighty".