338470560 has 288 divisors, whose sum is σ = 1238328000. Its totient is φ = 83939328.

The previous prime is 338470537. The next prime is 338470589. The reversal of 338470560 is 65074833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×338470560² = 229124639973427200, which contains 22 as substring.

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

It is an unprimeable number.

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, 2434971 + ... + 2435109.

It is an arithmetic number, because the mean of its divisors is an integer number (4299750).

Almost surely, 2^338470560 is an apocalyptic number.

338470560 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 338470560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619164000).

338470560 is an abundant number, since it is smaller than the sum of its proper divisors (899857440).

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

338470560 is a wasteful number, since it uses less digits than its factorization.

338470560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 338470560 is about 18397.5694046795. The cubic root of 338470560 is about 696.9050848950.

The spelling of 338470560 in words is "three hundred thirty-eight million, four hundred seventy thousand, five hundred sixty".