249094048 has 72 divisors (see below), whose sum is σ = 595359072. Its totient is φ = 102098304.

The previous prime is 249094019. The next prime is 249094061. The reversal of 249094048 is 840490942.

It is a self number, because there is not a number n which added to its sum of digits gives 249094048.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32611 + ... + 39517.

It is an arithmetic number, because the mean of its divisors is an integer number (8268876).

Almost surely, 2^249094048 is an apocalyptic number.

249094048 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 249094048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297679536).

249094048 is an abundant number, since it is smaller than the sum of its proper divisors (346265024).

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

249094048 is a wasteful number, since it uses less digits than its factorization.

249094048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6954 (or 6939 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 249094048 is about 15782.7135816373. The cubic root of 249094048 is about 629.1986519145.

The spelling of 249094048 in words is "two hundred forty-nine million, ninety-four thousand, forty-eight".