249148368 has 120 divisors (see below), whose sum is σ = 838884800. Its totient is φ = 67433472.

The previous prime is 249148307. The next prime is 249148381. The reversal of 249148368 is 863841942.

It is a happy number.

249148368 is a `hidden beast` number, since 24 + 91 + 483 + 68 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12648 + ... + 25656.

Almost surely, 2^249148368 is an apocalyptic number.

249148368 is a gapful number since it is divisible by the number (28) 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 249148368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419442400).

249148368 is an abundant number, since it is smaller than the sum of its proper divisors (589736432).

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

249148368 is a wasteful number, since it uses less digits than its factorization.

249148368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13049 (or 13040 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 249148368 is about 15784.4343579363. The cubic root of 249148368 is about 629.2443850916.

The spelling of 249148368 in words is "two hundred forty-nine million, one hundred forty-eight thousand, three hundred sixty-eight".