249192480 has 48 divisors (see below), whose sum is σ = 784957824. Its totient is φ = 66451200.

The previous prime is 249192479. The next prime is 249192481. The reversal of 249192480 is 84291942.

249192480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (249192479) and next prime (249192481).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (249192481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259096 + ... + 260055.

It is an arithmetic number, because the mean of its divisors is an integer number (16353288).

Almost surely, 2^249192480 is an apocalyptic number.

249192480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249192480 is an abundant number, since it is smaller than the sum of its proper divisors (535765344).

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

249192480 is a wasteful number, since it uses less digits than its factorization.

249192480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519169 (or 519161 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 249192480 is about 15785.8316220591. The cubic root of 249192480 is about 629.2815190432.

The spelling of 249192480 in words is "two hundred forty-nine million, one hundred ninety-two thousand, four hundred eighty".