480264033 has 16 divisors (see below), whose sum is σ = 672959936. Its totient is φ = 304274880.

The previous prime is 480264017. The next prime is 480264053. The reversal of 480264033 is 330462084.

It is not a de Polignac number, because 480264033 - 2⁴ = 480264017 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480264053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45538 + ... + 55083.

It is an arithmetic number, because the mean of its divisors is an integer number (42059996).

Almost surely, 2^480264033 is an apocalyptic number.

480264033 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

480264033 is a deficient number, since it is larger than the sum of its proper divisors (192695903).

480264033 is a wasteful number, since it uses less digits than its factorization.

480264033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100704.

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 480264033 is about 21914.9271730481. The cubic root of 480264033 is about 783.1170650086.

The spelling of 480264033 in words is "four hundred eighty million, two hundred sixty-four thousand, thirty-three".