249278304 has 96 divisors (see below), whose sum is σ = 726122880. Its totient is φ = 74240000.

The previous prime is 249278297. The next prime is 249278311. The reversal of 249278304 is 403872942.

It is an interprime number because it is at equal distance from previous prime (249278297) and next prime (249278311).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60304 + ... + 64304.

It is an arithmetic number, because the mean of its divisors is an integer number (7563780).

Almost surely, 2^249278304 is an apocalyptic number.

249278304 is a gapful number since it is divisible by the number (24) 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 249278304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363061440).

249278304 is an abundant number, since it is smaller than the sum of its proper divisors (476844576).

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

249278304 is a wasteful number, since it uses less digits than its factorization.

249278304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4084 (or 4076 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 249278304 is about 15788.5497750743. The cubic root of 249278304 is about 629.3537540455.

The spelling of 249278304 in words is "two hundred forty-nine million, two hundred seventy-eight thousand, three hundred four".