480280464 has 60 divisors (see below), whose sum is σ = 1423191276. Its totient is φ = 150675456.

The previous prime is 480280441. The next prime is 480280469. The reversal of 480280464 is 464082084.

It can be written as a sum of positive squares in 2 ways, for example, as 214329600 + 265950864 = 14640^2 + 16308^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (480280469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95649 + ... + 100544.

Almost surely, 2^480280464 is an apocalyptic number.

It is an amenable number.

480280464 is an abundant number, since it is smaller than the sum of its proper divisors (942910812).

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

480280464 is a wasteful number, since it uses less digits than its factorization.

480280464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196224 (or 196215 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 480280464 is about 21915.3020513065. The cubic root of 480280464 is about 783.1259956862.

The spelling of 480280464 in words is "four hundred eighty million, two hundred eighty thousand, four hundred sixty-four".