338748480 has 280 divisors, whose sum is σ = 1377866688. Its totient is φ = 77386752.

The previous prime is 338748427. The next prime is 338748521. The reversal of 338748480 is 84847833.

It is a happy number.

338748480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×338748480² = 229501065404620800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 180507 + ... + 182373.

Almost surely, 2^338748480 is an apocalyptic number.

338748480 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 338748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688933344).

338748480 is an abundant number, since it is smaller than the sum of its proper divisors (1039118208).

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

338748480 is a wasteful number, since it uses less digits than its factorization.

338748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 338748480 is about 18405.1210264969. The cubic root of 338748480 is about 697.0957768848.

The spelling of 338748480 in words is "three hundred thirty-eight million, seven hundred forty-eight thousand, four hundred eighty".