495120084480 has 720 divisors, whose sum is σ = 2006545885344. Its totient is φ = 112498606080.

The previous prime is 495120084419. The next prime is 495120084493. The reversal of 495120084480 is 84480021594.

495120084480 is a `hidden beast` number, since 4 + 95 + 1 + 2 + 0 + 0 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 204340549 + ... + 204342971.

Almost surely, 2^495120084480 is an apocalyptic number.

495120084480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495120084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003272942672).

495120084480 is an abundant number, since it is smaller than the sum of its proper divisors (1511425800864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

495120084480 is a wasteful number, since it uses less digits than its factorization.

495120084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 495120084480 in words is "four hundred ninety-five billion, one hundred twenty million, eighty-four thousand, four hundred eighty".