249966864 has 160 divisors (see below), whose sum is σ = 827566080. Its totient is φ = 70761600.

The previous prime is 249966859. The next prime is 249966881. The reversal of 249966864 is 468669942.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 249966864.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395829 + ... + 396459.

It is an arithmetic number, because the mean of its divisors is an integer number (5172288).

Almost surely, 2^249966864 is an apocalyptic number.

249966864 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 249966864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413783040).

249966864 is an abundant number, since it is smaller than the sum of its proper divisors (577599216).

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

249966864 is a wasteful number, since it uses less digits than its factorization.

249966864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 774 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 249966864 is about 15810.3404137925. The cubic root of 249966864 is about 629.9326912217.

The spelling of 249966864 in words is "two hundred forty-nine million, nine hundred sixty-six thousand, eight hundred sixty-four".