482815840 has 144 divisors (see below), whose sum is σ = 1298466288. Its totient is φ = 168625152.

The previous prime is 482815831. The next prime is 482815909. The reversal of 482815840 is 48518284.

482815840 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×482815840² = 466222270709811200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 482815793 and 482815802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750559 + ... + 751201.

It is an arithmetic number, because the mean of its divisors is an integer number (9017127).

Almost surely, 2^482815840 is an apocalyptic number.

482815840 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 482815840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649233144).

482815840 is an abundant number, since it is smaller than the sum of its proper divisors (815650448).

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

482815840 is a wasteful number, since it uses less digits than its factorization.

482815840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 40.

The square root of 482815840 is about 21973.0707913118. The cubic root of 482815840 is about 784.5016052839.

The spelling of 482815840 in words is "four hundred eighty-two million, eight hundred fifteen thousand, eight hundred forty".