249842124 has 96 divisors (see below), whose sum is σ = 748124160. Its totient is φ = 70626816.

The previous prime is 249842119. The next prime is 249842143. The reversal of 249842124 is 421248942.

249842124 is a `hidden beast` number, since 2 + 498 + 42 + 124 = 666.

249842124 is digitally balanced in base 2, 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71629 + ... + 75035.

It is an arithmetic number, because the mean of its divisors is an integer number (7792960).

Almost surely, 2^249842124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249842124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374062080).

249842124 is an abundant number, since it is smaller than the sum of its proper divisors (498282036).

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

249842124 is a wasteful number, since it uses less digits than its factorization.

249842124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524 (or 3516 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 249842124 is about 15806.3950349218. The cubic root of 249842124 is about 629.8278894931.

The spelling of 249842124 in words is "two hundred forty-nine million, eight hundred forty-two thousand, one hundred twenty-four".