338486800 has 30 divisors (see below), whose sum is σ = 813215498. Its totient is φ = 135394560.

The previous prime is 338486777. The next prime is 338486801. The reversal of 338486800 is 8684833.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 73984 + 338412816 = 272^2 + 18396^2 .

It is a super-2 number, since 2×338486800² = 229146627548480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (338486801) 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 5 ways as a sum of consecutive naturals, for example, 422709 + ... + 423508.

Almost surely, 2^338486800 is an apocalyptic number.

It is an amenable number.

338486800 is an abundant number, since it is smaller than the sum of its proper divisors (474728698).

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

338486800 is a wasteful number, since it uses less digits than its factorization.

338486800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846235 (or 846224 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 338486800 is about 18398.0107620362. The cubic root of 338486800 is about 696.9162306774.

The spelling of 338486800 in words is "three hundred thirty-eight million, four hundred eighty-six thousand, eight hundred".