485905703040 has 320 divisors, whose sum is σ = 1748527672320. Its totient is φ = 128583936000.

The previous prime is 485905703039. The next prime is 485905703071. The reversal of 485905703040 is 40307509584.

485905703040 is a `hidden beast` number, since 4 + 8 + 5 + 9 + 0 + 570 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×485905703040² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6755265 + ... + 6826815.

It is an arithmetic number, because the mean of its divisors is an integer number (5464148976).

Almost surely, 2^485905703040 is an apocalyptic number.

485905703040 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 485905703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874263836160).

485905703040 is an abundant number, since it is smaller than the sum of its proper divisors (1262621969280).

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

485905703040 is a wasteful number, since it uses less digits than its factorization.

485905703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71713 (or 71692 counting only the distinct ones).

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

The spelling of 485905703040 in words is "four hundred eighty-five billion, nine hundred five million, seven hundred three thousand, forty".