249086080 has 64 divisors (see below), whose sum is σ = 602299800. Its totient is φ = 98492416.

The previous prime is 249086063. The next prime is 249086153. The reversal of 249086080 is 80680942.

It can be written as a sum of positive squares in 4 ways, for example, as 171505216 + 77580864 = 13096^2 + 8808^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54774 + ... + 59146.

Almost surely, 2^249086080 is an apocalyptic number.

249086080 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 249086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301149900).

249086080 is an abundant number, since it is smaller than the sum of its proper divisors (353213720).

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

249086080 is an equidigital number, since it uses as much as digits as its factorization.

249086080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4481 (or 4469 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 249086080 is about 15782.4611515441. The cubic root of 249086080 is about 629.1919429246.

The spelling of 249086080 in words is "two hundred forty-nine million, eighty-six thousand, eighty".