239819040 has 72 divisors (see below), whose sum is σ = 818387388. Its totient is φ = 63951360.

The previous prime is 239819039. The next prime is 239819071. The reversal of 239819040 is 40918932.

239819040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 237036816 + 2782224 = 15396^2 + 1668^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 239818986 and 239819004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81831 + ... + 84710.

Almost surely, 2^239819040 is an apocalyptic number.

239819040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

239819040 is an abundant number, since it is smaller than the sum of its proper divisors (578568348).

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

239819040 is a wasteful number, since it uses less digits than its factorization.

239819040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166562 (or 166551 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 239819040 is about 15486.0918246018. The cubic root of 239819040 is about 621.2902716979.

The spelling of 239819040 in words is "two hundred thirty-nine million, eight hundred nineteen thousand, forty".