338472 has 32 divisors (see below), whose sum is σ = 940800. Its totient is φ = 112752.

The previous prime is 338461. The next prime is 338473. The reversal of 338472 is 274833.

It is a super-2 number, since 2×338472² = 229126589568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (338473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 568 + ... + 999.

It is an arithmetic number, because the mean of its divisors is an integer number (29400).

2³³⁸⁴⁷² is an apocalyptic number.

It is an amenable number.

338472 is an abundant number, since it is smaller than the sum of its proper divisors (602328).

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

338472 is a wasteful number, since it uses less digits than its factorization.

338472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1572 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 338472 is about 581.7834648733. The cubic root of 338472 is about 69.6906073205.

The spelling of 338472 in words is "three hundred thirty-eight thousand, four hundred seventy-two".