338993466 has 48 divisors (see below), whose sum is σ = 796876416. Its totient is φ = 95848704.

The previous prime is 338993443. The next prime is 338993477. The reversal of 338993466 is 664399833.

It is a super-2 number, since 2×338993466² = 229833139981386312, 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 23 ways as a sum of consecutive naturals, for example, 22575 + ... + 34461.

It is an arithmetic number, because the mean of its divisors is an integer number (16601592).

Almost surely, 2^338993466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338993466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398438208).

338993466 is an abundant number, since it is smaller than the sum of its proper divisors (457882950).

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

338993466 is a wasteful number, since it uses less digits than its factorization.

338993466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12003 (or 11996 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 51.

The square root of 338993466 is about 18411.7751995836. The cubic root of 338993466 is about 697.2637850709.

The spelling of 338993466 in words is "three hundred thirty-eight million, nine hundred ninety-three thousand, four hundred sixty-six".