336480 has 48 divisors (see below), whose sum is σ = 1061424. Its totient is φ = 89600.

The previous prime is 336463. The next prime is 336491. The reversal of 336480 is 84633.

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

It is a super-2 number, since 2×336480² = 226437580800, 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 336480.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 336480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130 + ... + 830.

It is an arithmetic number, because the mean of its divisors is an integer number (22113).

2³³⁶⁴⁸⁰ is an apocalyptic number.

336480 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 336480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530712).

336480 is an abundant number, since it is smaller than the sum of its proper divisors (724944).

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

336480 is a wasteful number, since it uses less digits than its factorization.

336480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 711 counting only the distinct ones).

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

The square root of 336480 is about 580.0689614175. The cubic root of 336480 is about 69.5536221616.

The spelling of 336480 in words is "three hundred thirty-six thousand, four hundred eighty".