480076923 has 32 divisors (see below), whose sum is σ = 696384000. Its totient is φ = 293054976.

The previous prime is 480076873. The next prime is 480076939. The reversal of 480076923 is 329670084.

It is not a de Polignac number, because 480076923 - 2¹³ = 480068731 is a prime.

480076923 is a modest number, since divided by 76923 gives 480 as remainder.

It is not an unprimeable number, because it can be changed into a prime (480071923) 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 31 ways as a sum of consecutive naturals, for example, 309153 + ... + 310701.

It is an arithmetic number, because the mean of its divisors is an integer number (21762000).

Almost surely, 2^480076923 is an apocalyptic number.

480076923 is a deficient number, since it is larger than the sum of its proper divisors (216307077).

480076923 is a wasteful number, since it uses less digits than its factorization.

480076923 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731.

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 480076923 is about 21910.6577491412. The cubic root of 480076923 is about 783.0153514669.

The spelling of 480076923 in words is "four hundred eighty million, seventy-six thousand, nine hundred twenty-three".