249379488 has 72 divisors (see below), whose sum is σ = 710918208. Its totient is φ = 82922112.

The previous prime is 249379463. The next prime is 249379517. The reversal of 249379488 is 884973942.

249379488 is a `hidden beast` number, since 2 + 4 + 93 + 79 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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, 156745 + ... + 158327.

It is an arithmetic number, because the mean of its divisors is an integer number (9873864).

Almost surely, 2^249379488 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 249379488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355459104).

249379488 is an abundant number, since it is smaller than the sum of its proper divisors (461538720).

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

249379488 is a wasteful number, since it uses less digits than its factorization.

249379488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2135 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 249379488 is about 15791.7537974729. The cubic root of 249379488 is about 629.4388957192.

The spelling of 249379488 in words is "two hundred forty-nine million, three hundred seventy-nine thousand, four hundred eighty-eight".