336408480 has 72 divisors (see below), whose sum is σ = 1147998852. Its totient is φ = 89708544.

The previous prime is 336408463. The next prime is 336408481. The reversal of 336408480 is 84804633.

336408480 is a `hidden beast` number, since 3 + 3 + 640 + 8 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 334012176 + 2396304 = 18276^2 + 1548^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×336408480² = 226341330831820800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (336408481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115369 + ... + 118248.

Almost surely, 2^336408480 is an apocalyptic number.

336408480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

336408480 is an abundant number, since it is smaller than the sum of its proper divisors (811590372).

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

336408480 is a wasteful number, since it uses less digits than its factorization.

336408480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233638 (or 233627 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 336408480 is about 18341.4416009211. The cubic root of 336408480 is about 695.4869385725.

The spelling of 336408480 in words is "three hundred thirty-six million, four hundred eight thousand, four hundred eighty".