338478160 has 80 divisors (see below), whose sum is σ = 877176000. Its totient is φ = 120711168.

The previous prime is 338478157. The next prime is 338478163. The reversal of 338478160 is 61874833.

It is an interprime number because it is at equal distance from previous prime (338478157) and next prime (338478163).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×338478160² = 229134929593971200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338478163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19291 + ... + 32389.

It is an arithmetic number, because the mean of its divisors is an integer number (10964700).

Almost surely, 2^338478160 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 338478160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438588000).

338478160 is an abundant number, since it is smaller than the sum of its proper divisors (538697840).

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

338478160 is a wasteful number, since it uses less digits than its factorization.

338478160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13148 (or 13142 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 338478160 is about 18397.7759525438. The cubic root of 338478160 is about 696.9103009459.

The spelling of 338478160 in words is "three hundred thirty-eight million, four hundred seventy-eight thousand, one hundred sixty".