249741968 has 80 divisors (see below), whose sum is σ = 605854080. Its totient is φ = 97241088.

The previous prime is 249741953. The next prime is 249741977. The reversal of 249741968 is 869147942.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52955 + ... + 57477.

It is an arithmetic number, because the mean of its divisors is an integer number (7573176).

Almost surely, 2^249741968 is an apocalyptic number.

249741968 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 249741968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302927040).

249741968 is an abundant number, since it is smaller than the sum of its proper divisors (356112112).

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

249741968 is a wasteful number, since it uses less digits than its factorization.

249741968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4584 (or 4578 counting only the distinct ones).

The product of its digits is 870912, while the sum is 50.

The square root of 249741968 is about 15803.2265060019. The cubic root of 249741968 is about 629.7437170403.

The spelling of 249741968 in words is "two hundred forty-nine million, seven hundred forty-one thousand, nine hundred sixty-eight".