486831072 has 288 divisors, whose sum is σ = 1689206400. Its totient is φ = 121347072.

The previous prime is 486831067. The next prime is 486831109. The reversal of 486831072 is 270138684.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 486831072.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1161679 + ... + 1162097.

It is an arithmetic number, because the mean of its divisors is an integer number (5865300).

Almost surely, 2^486831072 is an apocalyptic number.

486831072 is a gapful number since it is divisible by the number (42) 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 486831072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844603200).

486831072 is an abundant number, since it is smaller than the sum of its proper divisors (1202375328).

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

486831072 is a wasteful number, since it uses less digits than its factorization.

486831072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 486831072 is about 22064.2487295625. The cubic root of 486831072 is about 786.6703163034.

The spelling of 486831072 in words is "four hundred eighty-six million, eight hundred thirty-one thousand, seventy-two".