239712480 has 192 divisors, whose sum is σ = 958970880. Its totient is φ = 54784512.

The previous prime is 239712479. The next prime is 239712503. The reversal of 239712480 is 84217932.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 26277 + ... + 34203.

It is an arithmetic number, because the mean of its divisors is an integer number (4994640).

Almost surely, 2^239712480 is an apocalyptic number.

239712480 is a gapful number since it is divisible by the number (20) 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 239712480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479485440).

239712480 is an abundant number, since it is smaller than the sum of its proper divisors (719258400).

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

239712480 is a wasteful number, since it uses less digits than its factorization.

239712480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7958 (or 7944 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 239712480 is about 15482.6509358055. The cubic root of 239712480 is about 621.1982377217.

The spelling of 239712480 in words is "two hundred thirty-nine million, seven hundred twelve thousand, four hundred eighty".