239825040 has 320 divisors, whose sum is σ = 933273600. Its totient is φ = 49600512.

The previous prime is 239825017. The next prime is 239825063. The reversal of 239825040 is 40528932.

It is a happy number.

239825040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (239825017) and next prime (239825063).

It is a super-2 number, since 2×239825040² = 115032099622003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 239824992 and 239825010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1725291 + ... + 1725429.

It is an arithmetic number, because the mean of its divisors is an integer number (2916480).

Almost surely, 2^239825040 is an apocalyptic number.

239825040 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 239825040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466636800).

239825040 is an abundant number, since it is smaller than the sum of its proper divisors (693448560).

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

239825040 is a wasteful number, since it uses less digits than its factorization.

239825040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 239825040 is about 15486.2855456045. The cubic root of 239825040 is about 621.2954529803.

The spelling of 239825040 in words is "two hundred thirty-nine million, eight hundred twenty-five thousand, forty".