480643407 has 12 divisors (see below), whose sum is σ = 694551000. Its totient is φ = 320295888.

The previous prime is 480643403. The next prime is 480643409. The reversal of 480643407 is 704346084.

480643407 is a `hidden beast` number, since 4 + 8 + 0 + 643 + 4 + 0 + 7 = 666.

It is not a de Polignac number, because 480643407 - 2² = 480643403 is a prime.

It is a super-3 number, since 3×480643407³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480643403) 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, 15028 + ... + 34454.

It is an arithmetic number, because the mean of its divisors is an integer number (57879250).

Almost surely, 2^480643407 is an apocalyptic number.

480643407 is a deficient number, since it is larger than the sum of its proper divisors (213907593).

480643407 is a wasteful number, since it uses less digits than its factorization.

480643407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22182 (or 22179 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 480643407 is about 21923.5810715312. The cubic root of 480643407 is about 783.3232127660.

The spelling of 480643407 in words is "four hundred eighty million, six hundred forty-three thousand, four hundred seven".