249634560 has 288 divisors, whose sum is σ = 939520512. Its totient is φ = 55296000.

The previous prime is 249634547. The next prime is 249634591. The reversal of 249634560 is 65436942.

249634560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 994435 + ... + 994685.

It is an arithmetic number, because the mean of its divisors is an integer number (3262224).

Almost surely, 2^249634560 is an apocalyptic number.

249634560 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 249634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469760256).

249634560 is an abundant number, since it is smaller than the sum of its proper divisors (689885952).

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

249634560 is a wasteful number, since it uses less digits than its factorization.

249634560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 249634560 is about 15799.8278471634. The cubic root of 249634560 is about 629.6534248976.

The spelling of 249634560 in words is "two hundred forty-nine million, six hundred thirty-four thousand, five hundred sixty".