480396 has 72 divisors (see below), whose sum is σ = 1404480. Its totient is φ = 127008.

The previous prime is 480391. The next prime is 480409. The reversal of 480396 is 693084.

480396 = 74² + 75² + ... + 122².

480396 is a modest number, since divided by 396 gives 48 as remainder.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (480391) by changing a digit.

480396 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11151 + ... + 11193.

2⁴⁸⁰³⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702240).

480396 is an abundant number, since it is smaller than the sum of its proper divisors (924084).

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

480396 is a wasteful number, since it uses less digits than its factorization.

480396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 480396 is about 693.1060524912. The cubic root of 480396 is about 78.3188786769.

The spelling of 480396 in words is "four hundred eighty thousand, three hundred ninety-six".