480894047 has 16 divisors (see below), whose sum is σ = 512160000. Its totient is φ = 450261504.

The previous prime is 480893999. The next prime is 480894131. The reversal of 480894047 is 740498084.

It is a cyclic number.

It is not a de Polignac number, because 480894047 - 2²⁸ = 212458591 is a prime.

It is a super-3 number, since 3×480894047³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 480893989 and 480894007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480894247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 729404 + ... + 730062.

It is an arithmetic number, because the mean of its divisors is an integer number (32010000).

Almost surely, 2^480894047 is an apocalyptic number.

480894047 is a deficient number, since it is larger than the sum of its proper divisors (31265953).

480894047 is a wasteful number, since it uses less digits than its factorization.

480894047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070.

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 480894047 is about 21929.2965459451. The cubic root of 480894047 is about 783.4593483502.

The spelling of 480894047 in words is "four hundred eighty million, eight hundred ninety-four thousand, forty-seven".