338464 has 24 divisors (see below), whose sum is σ = 762048. Its totient is φ = 144960.

The previous prime is 338461. The next prime is 338473. The reversal of 338464 is 464833.

It is a super-2 number, since 2×338464² = 229115758592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 532 + ... + 979.

It is an arithmetic number, because the mean of its divisors is an integer number (31752).

2³³⁸⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

338464 is an abundant number, since it is smaller than the sum of its proper divisors (423584).

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

338464 is a wasteful number, since it uses less digits than its factorization.

338464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1520 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 338464 is about 581.7765894224. The cubic root of 338464 is about 69.6900582557.

The spelling of 338464 in words is "three hundred thirty-eight thousand, four hundred sixty-four".