338571408 has 160 divisors (see below), whose sum is σ = 1053075456. Its totient is φ = 91643904.

The previous prime is 338571407. The next prime is 338571413. The reversal of 338571408 is 804175833.

It is a super-2 number, since 2×338571408² = 229261196630204928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338571407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1491391 + ... + 1491617.

Almost surely, 2^338571408 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 338571408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526537728).

338571408 is an abundant number, since it is smaller than the sum of its proper divisors (714504048).

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

338571408 is a wasteful number, since it uses less digits than its factorization.

338571408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 338571408 is about 18400.3099973886. The cubic root of 338571408 is about 696.9742927901.

The spelling of 338571408 in words is "three hundred thirty-eight million, five hundred seventy-one thousand, four hundred eight".