336432480 has 96 divisors (see below), whose sum is σ = 1096351200. Its totient is φ = 86618112.

The previous prime is 336432461. The next prime is 336432521. The reversal of 336432480 is 84234633.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×336432480² = 226373627197900800, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1836 + ... + 26004.

It is an arithmetic number, because the mean of its divisors is an integer number (11420325).

Almost surely, 2^336432480 is an apocalyptic number.

336432480 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 336432480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548175600).

336432480 is an abundant number, since it is smaller than the sum of its proper divisors (759918720).

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

336432480 is a wasteful number, since it uses less digits than its factorization.

336432480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24216 (or 24208 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 336432480 is about 18342.0958453498. The cubic root of 336432480 is about 695.5034772852.

The spelling of 336432480 in words is "three hundred thirty-six million, four hundred thirty-two thousand, four hundred eighty".