486832896 has 288 divisors, whose sum is σ = 1658092800. Its totient is φ = 139345920.

The previous prime is 486832891. The next prime is 486832919. The reversal of 486832896 is 698238684.

486832896 is a `hidden beast` number, since 486 + 83 + 2 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (486832891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1444440 + ... + 1444776.

Almost surely, 2^486832896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486832896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829046400).

486832896 is an abundant number, since it is smaller than the sum of its proper divisors (1171259904).

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

486832896 is a wasteful number, since it uses less digits than its factorization.

486832896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 372 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 486832896 is about 22064.2900633580. The cubic root of 486832896 is about 786.6712987694.

The spelling of 486832896 in words is "four hundred eighty-six million, eight hundred thirty-two thousand, eight hundred ninety-six".