338205456 has 120 divisors (see below), whose sum is σ = 1008518784. Its totient is φ = 109641600.

The previous prime is 338205437. The next prime is 338205457. The reversal of 338205456 is 654502833.

It is a happy number.

338205456 is a `hidden beast` number, since 33 + 82 + 0 + 545 + 6 = 666.

It is a super-2 number, since 2×338205456² = 228765860936335872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 338205456.

It is not an unprimeable number, because it can be changed into a prime (338205457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142681 + ... + 145031.

Almost surely, 2^338205456 is an apocalyptic number.

338205456 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 338205456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504259392).

338205456 is an abundant number, since it is smaller than the sum of its proper divisors (670313328).

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

338205456 is a wasteful number, since it uses less digits than its factorization.

338205456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 338205456 is about 18390.3631285519. The cubic root of 338205456 is about 696.7230891730.

The spelling of 338205456 in words is "three hundred thirty-eight million, two hundred five thousand, four hundred fifty-six".