338120430 has 64 divisors (see below), whose sum is σ = 836559360. Its totient is φ = 87398784.

The previous prime is 338120423. The next prime is 338120479. The reversal of 338120430 is 34021833.

It is a super-2 number, since 2×338120430² = 228650850366769800, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 338120430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464727 + ... + 465453.

It is an arithmetic number, because the mean of its divisors is an integer number (13071240).

Almost surely, 2^338120430 is an apocalyptic number.

338120430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 338120430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418279680).

338120430 is an abundant number, since it is smaller than the sum of its proper divisors (498438930).

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

338120430 is a wasteful number, since it uses less digits than its factorization.

338120430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 338120430 is about 18388.0512833742. The cubic root of 338120430 is about 696.6646980961.

The spelling of 338120430 in words is "three hundred thirty-eight million, one hundred twenty thousand, four hundred thirty".