338268480 has 224 divisors, whose sum is σ = 1186818048. Its totient is φ = 80947200.

The previous prime is 338268479. The next prime is 338268523. The reversal of 338268480 is 84862833.

It is a super-2 number, since 2×338268480² = 228851129123020800, 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 31 ways as a sum of consecutive naturals, for example, 1087525 + ... + 1087835.

Almost surely, 2^338268480 is an apocalyptic number.

338268480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593409024).

338268480 is an abundant number, since it is smaller than the sum of its proper divisors (848549568).

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

338268480 is a wasteful number, since it uses less digits than its factorization.

338268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 338268480 is about 18392.0765548646. The cubic root of 338268480 is about 696.7663641981.

The spelling of 338268480 in words is "three hundred thirty-eight million, two hundred sixty-eight thousand, four hundred eighty".