239920464 has 120 divisors (see below), whose sum is σ = 730265760. Its totient is φ = 67667712.

The previous prime is 239920463. The next prime is 239920481. The reversal of 239920464 is 464029932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239920463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194602 + ... + 195830.

It is an arithmetic number, because the mean of its divisors is an integer number (6085548).

Almost surely, 2^239920464 is an apocalyptic number.

239920464 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 239920464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365132880).

239920464 is an abundant number, since it is smaller than the sum of its proper divisors (490345296).

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

239920464 is a wasteful number, since it uses less digits than its factorization.

239920464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 239920464 is about 15489.3661587555. The cubic root of 239920464 is about 621.3778444824.

The spelling of 239920464 in words is "two hundred thirty-nine million, nine hundred twenty thousand, four hundred sixty-four".