239724480 has 224 divisors, whose sum is σ = 829763136. Its totient is φ = 58392576.

The previous prime is 239724479. The next prime is 239724491. The reversal of 239724480 is 84427932.

239724480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×239724480² = 114935652622540800, which contains 22 as substring.

It is a congruent number.

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, 603642 + ... + 604038.

Almost surely, 2^239724480 is an apocalyptic number.

239724480 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 239724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414881568).

239724480 is an abundant number, since it is smaller than the sum of its proper divisors (590038656).

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

239724480 is a wasteful number, since it uses less digits than its factorization.

239724480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 239724480 is about 15483.0384614907. The cubic root of 239724480 is about 621.2086032708.

The spelling of 239724480 in words is "two hundred thirty-nine million, seven hundred twenty-four thousand, four hundred eighty".