338004468 has 48 divisors (see below), whose sum is σ = 881200320. Its totient is φ = 112039200.

The previous prime is 338004449. The next prime is 338004473. The reversal of 338004468 is 864400833.

It is a super-2 number, since 2×338004468² = 228494040775926048, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10903 + ... + 28193.

It is an arithmetic number, because the mean of its divisors is an integer number (18358340).

Almost surely, 2^338004468 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 338004468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440600160).

338004468 is an abundant number, since it is smaller than the sum of its proper divisors (543195852).

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

338004468 is a wasteful number, since it uses less digits than its factorization.

338004468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17485 (or 17477 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 338004468 is about 18384.8978240294. The cubic root of 338004468 is about 696.5850461320.

The spelling of 338004468 in words is "three hundred thirty-eight million, four thousand, four hundred sixty-eight".