480754434 has 16 divisors (see below), whose sum is σ = 961882272. Its totient is φ = 160189248.

The previous prime is 480754433. The next prime is 480754451. The reversal of 480754434 is 434457084.

It is a super-3 number, since 3×480754434³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 480754392 and 480754401.

It is not an unprimeable number, because it can be changed into a prime (480754433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2857 + ... + 31139.

It is an arithmetic number, because the mean of its divisors is an integer number (60117642).

Almost surely, 2^480754434 is an apocalyptic number.

480754434 is an abundant number, since it is smaller than the sum of its proper divisors (481127838).

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

480754434 is a wasteful number, since it uses less digits than its factorization.

480754434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31121.

The product of its (nonzero) digits is 215040, while the sum is 39.

The square root of 480754434 is about 21926.1130618265. The cubic root of 480754434 is about 783.3835231259.

The spelling of 480754434 in words is "four hundred eighty million, seven hundred fifty-four thousand, four hundred thirty-four".