338873000 has 64 divisors (see below), whose sum is σ = 796208400. Its totient is φ = 134995200.

The previous prime is 338872993. The next prime is 338873011. The reversal of 338873000 is 378833.

It can be written as a sum of positive squares in 8 ways, for example, as 4056196 + 334816804 = 2014^2 + 18298^2 .

It is a super-2 number, since 2×338873000² = 229669820258000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316466 + ... + 317534.

Almost surely, 2^338873000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338873000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398104200).

338873000 is an abundant number, since it is smaller than the sum of its proper divisors (457335400).

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

338873000 is a wasteful number, since it uses less digits than its factorization.

338873000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 338873000 is about 18408.5034698641. The cubic root of 338873000 is about 697.1811811868.

The spelling of 338873000 in words is "three hundred thirty-eight million, eight hundred seventy-three thousand".