249738048 has 168 divisors, whose sum is σ = 853976448. Its totient is φ = 68226048.

The previous prime is 249738019. The next prime is 249738059. The reversal of 249738048 is 840837942.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 249737994 and 249738012.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 91390 + ... + 94082.

Almost surely, 2^249738048 is an apocalyptic number.

249738048 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 249738048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426988224).

249738048 is an abundant number, since it is smaller than the sum of its proper divisors (604238400).

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

249738048 is a wasteful number, since it uses less digits than its factorization.

249738048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 249738048 is about 15803.1024802094. The cubic root of 249738048 is about 629.7404221618.

The spelling of 249738048 in words is "two hundred forty-nine million, seven hundred thirty-eight thousand, forty-eight".