239280000 has 160 divisors (see below), whose sum is σ = 795026760. Its totient is φ = 63744000.

The previous prime is 239279969. The next prime is 239280031. The reversal of 239280000 is 82932.

It is an interprime number because it is at equal distance from previous prime (239279969) and next prime (239280031).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 239502 + ... + 240498.

Almost surely, 2^239280000 is an apocalyptic number.

239280000 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 239280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397513380).

239280000 is an abundant number, since it is smaller than the sum of its proper divisors (555746760).

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

239280000 is an frugal number, since it uses more digits than its factorization.

239280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 239280000 is about 15468.6780301356. The cubic root of 239280000 is about 620.8244322053.

The spelling of 239280000 in words is "two hundred thirty-nine million, two hundred eighty thousand".