338849406 has 216 divisors, whose sum is σ = 969299136. Its totient is φ = 88179840.

The previous prime is 338849387. The next prime is 338849431. The reversal of 338849406 is 604948833.

It is a super-2 number, since 2×338849406² = 229637839893105672, which contains 22 as substring.

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10930611 + ... + 10930641.

It is an arithmetic number, because the mean of its divisors is an integer number (4487496).

Almost surely, 2^338849406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338849406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484649568).

338849406 is an abundant number, since it is smaller than the sum of its proper divisors (630449730).

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

338849406 is an equidigital number, since it uses as much as digits as its factorization.

338849406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 338849406 is about 18407.8626135681. The cubic root of 338849406 is about 697.1650004204.

The spelling of 338849406 in words is "three hundred thirty-eight million, eight hundred forty-nine thousand, four hundred six".