336312480 has 288 divisors, whose sum is σ = 1254839040. Its totient is φ = 75479040.

The previous prime is 336312469. The next prime is 336312497. The reversal of 336312480 is 84213633.

It is a super-2 number, since 2×336312480² = 226212168407500800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1857990 + ... + 1858170.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2^336312480 is an apocalyptic number.

336312480 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 336312480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627419520).

336312480 is an abundant number, since it is smaller than the sum of its proper divisors (918526560).

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

336312480 is a wasteful number, since it uses less digits than its factorization.

336312480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 336312480 is about 18338.8243898021. The cubic root of 336312480 is about 695.4207758545.

The spelling of 336312480 in words is "three hundred thirty-six million, three hundred twelve thousand, four hundred eighty".