480505734 has 24 divisors (see below), whose sum is σ = 1045064592. Its totient is φ = 159558000.

The previous prime is 480505733. The next prime is 480505757. The reversal of 480505734 is 437505084.

480505734 is a `hidden beast` number, since 4 + 80 + 5 + 0 + 573 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480505733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46017 + ... + 55484.

It is an arithmetic number, because the mean of its divisors is an integer number (43544358).

Almost surely, 2^480505734 is an apocalyptic number.

480505734 is an abundant number, since it is smaller than the sum of its proper divisors (564558858).

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

480505734 is a wasteful number, since it uses less digits than its factorization.

480505734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101772 (or 101769 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 480505734 is about 21920.4410083374. The cubic root of 480505734 is about 783.2484152804.

The spelling of 480505734 in words is "four hundred eighty million, five hundred five thousand, seven hundred thirty-four".