480545973 has 64 divisors (see below), whose sum is σ = 770457600. Its totient is φ = 295410240.

The previous prime is 480545917. The next prime is 480545993. The reversal of 480545973 is 379545084.

480545973 is a `hidden beast` number, since 4 + 8 + 0 + 54 + 597 + 3 = 666.

It is not a de Polignac number, because 480545973 - 2¹⁰ = 480544949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480545993) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1827040 + ... + 1827302.

It is an arithmetic number, because the mean of its divisors is an integer number (12038400).

Almost surely, 2^480545973 is an apocalyptic number.

It is an amenable number.

480545973 is a deficient number, since it is larger than the sum of its proper divisors (289911627).

480545973 is a wasteful number, since it uses less digits than its factorization.

480545973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 480545973 is about 21921.3588310579. The cubic root of 480545973 is about 783.2702785320.

The spelling of 480545973 in words is "four hundred eighty million, five hundred forty-five thousand, nine hundred seventy-three".