338898560 has 384 divisors, whose sum is σ = 1137144960. Its totient is φ = 93265920.

The previous prime is 338898557. The next prime is 338898569. The reversal of 338898560 is 65898833.

It is a super-2 number, since 2×338898560² = 229704467940147200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338898499 and 338898508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338898569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14734709 + ... + 14734731.

It is an arithmetic number, because the mean of its divisors is an integer number (2961315).

Almost surely, 2^338898560 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 338898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568572480).

338898560 is an abundant number, since it is smaller than the sum of its proper divisors (798246400).

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

338898560 is a wasteful number, since it uses less digits than its factorization.

338898560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 50.

The square root of 338898560 is about 18409.1977011493. The cubic root of 338898560 is about 697.1987093886.

It can be divided in two parts, 338 and 898560, that added together give a palindrome (898898).

The spelling of 338898560 in words is "three hundred thirty-eight million, eight hundred ninety-eight thousand, five hundred sixty".