480025298565 has 192 divisors, whose sum is σ = 903516456960. Its totient is φ = 235173818880.

The previous prime is 480025298561. The next prime is 480025298579. The reversal of 480025298565 is 565892520084.

480025298565 is a `hidden beast` number, since 480 + 0 + 2 + 5 + 29 + 85 + 65 = 666.

It is not a de Polignac number, because 480025298565 - 2² = 480025298561 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480025298561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 775484826 + ... + 775485444.

It is an arithmetic number, because the mean of its divisors is an integer number (4705814880).

Almost surely, 2^480025298565 is an apocalyptic number.

480025298565 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

480025298565 is a deficient number, since it is larger than the sum of its proper divisors (423491158395).

480025298565 is a wasteful number, since it uses less digits than its factorization.

480025298565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 480025298565 in words is "four hundred eighty billion, twenty-five million, two hundred ninety-eight thousand, five hundred sixty-five".