239814864 has 80 divisors (see below), whose sum is σ = 692386240. Its totient is φ = 79470720.

The previous prime is 239814857. The next prime is 239814901. The reversal of 239814864 is 468418932.

It is a happy number.

It is a super-2 number, since 2×239814864² = 115022337990676992, which contains 22 as substring.

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

It is a congruent number.

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, 76659 + ... + 79725.

It is an arithmetic number, because the mean of its divisors is an integer number (8654828).

Almost surely, 2^239814864 is an apocalyptic number.

239814864 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 239814864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346193120).

239814864 is an abundant number, since it is smaller than the sum of its proper divisors (452571376).

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

239814864 is a wasteful number, since it uses less digits than its factorization.

239814864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265 (or 3253 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 239814864 is about 15485.9569933537. The cubic root of 239814864 is about 621.2866654743.

The spelling of 239814864 in words is "two hundred thirty-nine million, eight hundred fourteen thousand, eight hundred sixty-four".