249118480 has 80 divisors (see below), whose sum is σ = 643958784. Its totient is φ = 89003520.

The previous prime is 249118477. The next prime is 249118483. The reversal of 249118480 is 84811942.

It is an interprime number because it is at equal distance from previous prime (249118477) and next prime (249118483).

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

It is not an unprimeable number, because it can be changed into a prime (249118483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28377 + ... + 36103.

Almost surely, 2^249118480 is an apocalyptic number.

249118480 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 249118480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321979392).

249118480 is an abundant number, since it is smaller than the sum of its proper divisors (394840304).

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

249118480 is a wasteful number, since it uses less digits than its factorization.

249118480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7784 (or 7778 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 249118480 is about 15783.4875740440. The cubic root of 249118480 is about 629.2192225637.

The spelling of 249118480 in words is "two hundred forty-nine million, one hundred eighteen thousand, four hundred eighty".