338169456 has 60 divisors (see below), whose sum is σ = 951241200. Its totient is φ = 112147200.

The previous prime is 338169449. The next prime is 338169463. The reversal of 338169456 is 654961833.

338169456 is a `hidden beast` number, since 3 + 38 + 169 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (338169449) and next prime (338169463).

It is a super-2 number, since 2×338169456² = 228717161942671872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22756 + ... + 34556.

It is an arithmetic number, because the mean of its divisors is an integer number (15854020).

Almost surely, 2^338169456 is an apocalyptic number.

338169456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338169456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475620600).

338169456 is an abundant number, since it is smaller than the sum of its proper divisors (613071744).

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

338169456 is a wasteful number, since it uses less digits than its factorization.

338169456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12014 (or 12005 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 338169456 is about 18389.3843290090. The cubic root of 338169456 is about 696.6983675916.

The spelling of 338169456 in words is "three hundred thirty-eight million, one hundred sixty-nine thousand, four hundred fifty-six".