338473440 has 72 divisors (see below), whose sum is σ = 1155045528. Its totient is φ = 90259200.

The previous prime is 338473411. The next prime is 338473453. The reversal of 338473440 is 44374833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×338473440² = 229128539170867200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 338473395 and 338473404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116086 + ... + 118965.

It is an arithmetic number, because the mean of its divisors is an integer number (16042299).

Almost surely, 2^338473440 is an apocalyptic number.

338473440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338473440 is an abundant number, since it is smaller than the sum of its proper divisors (816572088).

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

338473440 is a wasteful number, since it uses less digits than its factorization.

338473440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235072 (or 235061 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 338473440 is about 18397.6476757220. The cubic root of 338473440 is about 696.9070615130.

The spelling of 338473440 in words is "three hundred thirty-eight million, four hundred seventy-three thousand, four hundred forty".