486105840 has 320 divisors, whose sum is σ = 1874880000. Its totient is φ = 114739200.

The previous prime is 486105839. The next prime is 486105847. The reversal of 486105840 is 48501684.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 486105795 and 486105804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486105847) 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, 973911 + ... + 974409.

It is an arithmetic number, because the mean of its divisors is an integer number (5859000).

Almost surely, 2^486105840 is an apocalyptic number.

486105840 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 486105840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440000).

486105840 is an abundant number, since it is smaller than the sum of its proper divisors (1388774160).

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

486105840 is a wasteful number, since it uses less digits than its factorization.

486105840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 486105840 is about 22047.8080543169. The cubic root of 486105840 is about 786.2794880437.

The spelling of 486105840 in words is "four hundred eighty-six million, one hundred five thousand, eight hundred forty".