480464775 has 72 divisors (see below), whose sum is σ = 993043584. Its totient is φ = 217512000.

The previous prime is 480464741. The next prime is 480464827. The reversal of 480464775 is 577464084.

It is not a de Polignac number, because 480464775 - 2⁸ = 480464519 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 480464775.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167100 + ... + 169950.

It is an arithmetic number, because the mean of its divisors is an integer number (13792272).

Almost surely, 2^480464775 is an apocalyptic number.

480464775 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

480464775 is an abundant number, since it is smaller than the sum of its proper divisors (512578809).

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

480464775 is a wasteful number, since it uses less digits than its factorization.

480464775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 480464775 is about 21919.5067234644. The cubic root of 480464775 is about 783.2261595741.

The spelling of 480464775 in words is "four hundred eighty million, four hundred sixty-four thousand, seven hundred seventy-five".