338466 has 16 divisors (see below), whose sum is σ = 712800. Its totient is φ = 106848.

The previous prime is 338461. The next prime is 338473. The reversal of 338466 is 664833.

It is a super-2 number, since 2×338466² = 229118466312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338461) by changing a digit.

338466 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 1371 + ... + 1598.

It is an arithmetic number, because the mean of its divisors is an integer number (44550).

2³³⁸⁴⁶⁶ is an apocalyptic number.

338466 is an abundant number, since it is smaller than the sum of its proper divisors (374334).

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

338466 is a wasteful number, since it uses less digits than its factorization.

338466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993.

The product of its digits is 10368, while the sum is 30.

The square root of 338466 is about 581.7783082928. The cubic root of 338466 is about 69.6901955227.

It can be divided in two parts, 33 and 8466, that multiplied together give a triangular number (279378 = T₇₄₇).

The spelling of 338466 in words is "three hundred thirty-eight thousand, four hundred sixty-six".