249918480 has 160 divisors (see below), whose sum is σ = 983865600. Its totient is φ = 57120768.

The previous prime is 249918467. The next prime is 249918481. The reversal of 249918480 is 84819942.

249918480 is a `hidden beast` number, since 2 + 499 + 1 + 84 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (249918481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6856 + ... + 23384.

It is an arithmetic number, because the mean of its divisors is an integer number (6149160).

Almost surely, 2^249918480 is an apocalyptic number.

249918480 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 249918480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491932800).

249918480 is an abundant number, since it is smaller than the sum of its proper divisors (733947120).

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

249918480 is a wasteful number, since it uses less digits than its factorization.

249918480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16558 (or 16546 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 249918480 is about 15808.8102019096. The cubic root of 249918480 is about 629.8920449943.

The spelling of 249918480 in words is "two hundred forty-nine million, nine hundred eighteen thousand, four hundred eighty".