249151560 has 256 divisors, whose sum is σ = 916531200. Its totient is φ = 52918272.

The previous prime is 249151549. The next prime is 249151561. The reversal of 249151560 is 65151942.

249151560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (249151561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1069204 + ... + 1069436.

It is an arithmetic number, because the mean of its divisors is an integer number (3580200).

Almost surely, 2^249151560 is an apocalyptic number.

249151560 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 249151560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458265600).

249151560 is an abundant number, since it is smaller than the sum of its proper divisors (667379640).

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

249151560 is a wasteful number, since it uses less digits than its factorization.

249151560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 249151560 is about 15784.5354698832. The cubic root of 249151560 is about 629.2470722983.

The spelling of 249151560 in words is "two hundred forty-nine million, one hundred fifty-one thousand, five hundred sixty".