336000480 has 48 divisors (see below), whose sum is σ = 1058403024. Its totient is φ = 89600000.

The previous prime is 336000473. The next prime is 336000499. The reversal of 336000480 is 84000633.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×336000480² = 225792645120460800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 336000480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349521 + ... + 350480.

It is an arithmetic number, because the mean of its divisors is an integer number (22050063).

Almost surely, 2^336000480 is an apocalyptic number.

336000480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

336000480 is an abundant number, since it is smaller than the sum of its proper divisors (722402544).

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

336000480 is a wasteful number, since it uses less digits than its factorization.

336000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700019 (or 700011 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 336000480 is about 18330.3158728921. The cubic root of 336000480 is about 695.2056600273.

The spelling of 336000480 in words is "three hundred thirty-six million, four hundred eighty", and thus it is an aban number.