239956920 has 288 divisors, whose sum is σ = 926190720. Its totient is φ = 53706240.

The previous prime is 239956897. The next prime is 239956939. The reversal of 239956920 is 29659932.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1075929 + ... + 1076151.

It is an arithmetic number, because the mean of its divisors is an integer number (3215940).

Almost surely, 2^239956920 is an apocalyptic number.

239956920 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 239956920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463095360).

239956920 is an abundant number, since it is smaller than the sum of its proper divisors (686233800).

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

239956920 is a wasteful number, since it uses less digits than its factorization.

239956920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 239956920 is about 15490.5429214085. The cubic root of 239956920 is about 621.4093157501.

It can be divided in two parts, 2399 and 56920, that added together give a cube (59319 = 39³).

The spelling of 239956920 in words is "two hundred thirty-nine million, nine hundred fifty-six thousand, nine hundred twenty".