249130480 has 80 divisors (see below), whose sum is σ = 613246464. Its totient is φ = 93927680.

The previous prime is 249130459. The next prime is 249130481. The reversal of 249130480 is 84031942.

249130480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249130481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129687 + ... + 131593.

Almost surely, 2^249130480 is an apocalyptic number.

249130480 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 249130480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306623232).

249130480 is an abundant number, since it is smaller than the sum of its proper divisors (364115984).

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

249130480 is a wasteful number, since it uses less digits than its factorization.

249130480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 249130480 is about 15783.8677135866. The cubic root of 249130480 is about 629.2293255335.

The spelling of 249130480 in words is "two hundred forty-nine million, one hundred thirty thousand, four hundred eighty".