486481536 has 96 divisors (see below), whose sum is σ = 1408570020. Its totient is φ = 161157120.

The previous prime is 486481519. The next prime is 486481559. The reversal of 486481536 is 635184684.

It can be written as a sum of positive squares in 2 ways, for example, as 486467136 + 14400 = 22056^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×486481536³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 486481491 and 486481500.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198076 + ... + 200516.

Almost surely, 2^486481536 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 486481536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704285010).

486481536 is an abundant number, since it is smaller than the sum of its proper divisors (922088484).

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

486481536 is a wasteful number, since it uses less digits than its factorization.

486481536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 2619 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 486481536 is about 22056.3264393688. The cubic root of 486481536 is about 786.4819994891.

The spelling of 486481536 in words is "four hundred eighty-six million, four hundred eighty-one thousand, five hundred thirty-six".