249174120 has 128 divisors (see below), whose sum is σ = 809907840. Its totient is φ = 60963840.

The previous prime is 249174059. The next prime is 249174131. The reversal of 249174120 is 21471942.

249174120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 328782 + ... + 329538.

It is an arithmetic number, because the mean of its divisors is an integer number (6327405).

Almost surely, 2^249174120 is an apocalyptic number.

249174120 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 249174120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404953920).

249174120 is an abundant number, since it is smaller than the sum of its proper divisors (560733720).

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

249174120 is a wasteful number, since it uses less digits than its factorization.

249174120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 249174120 is about 15785.2500772082. The cubic root of 249174120 is about 629.2660639320.

The spelling of 249174120 in words is "two hundred forty-nine million, one hundred seventy-four thousand, one hundred twenty".