480810465 has 32 divisors (see below), whose sum is σ = 882355200. Its totient is φ = 248158080.

The previous prime is 480810457. The next prime is 480810503. The reversal of 480810465 is 564018084.

It is not a de Polignac number, because 480810465 - 2³ = 480810457 is a prime.

It is a super-3 number, since 3×480810465³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53260 + ... + 61629.

It is an arithmetic number, because the mean of its divisors is an integer number (27573600).

Almost surely, 2^480810465 is an apocalyptic number.

480810465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

480810465 is a deficient number, since it is larger than the sum of its proper divisors (401544735).

480810465 is a wasteful number, since it uses less digits than its factorization.

480810465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114934 (or 114928 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 480810465 is about 21927.3907476471. The cubic root of 480810465 is about 783.4139558888.

The spelling of 480810465 in words is "four hundred eighty million, eight hundred ten thousand, four hundred sixty-five".