486434688 has 32 divisors (see below), whose sum is σ = 1292093160. Its totient is φ = 162144768.

The previous prime is 486434677. The next prime is 486434699. The reversal of 486434688 is 886434684.

It is an interprime number because it is at equal distance from previous prime (486434677) and next prime (486434699).

It is a tau number, because it is divible by the number of its divisors (32).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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

486434688 is a modest number, since divided by 34688 gives 4864 as remainder.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 486434688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 632995 + ... + 633762.

Almost surely, 2^486434688 is an apocalyptic number.

486434688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

486434688 is an abundant number, since it is smaller than the sum of its proper divisors (805658472).

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

486434688 is a wasteful number, since it uses less digits than its factorization.

486434688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266774 (or 1266762 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 51.

The square root of 486434688 is about 22055.2644055790. The cubic root of 486434688 is about 786.4567526992.

The spelling of 486434688 in words is "four hundred eighty-six million, four hundred thirty-four thousand, six hundred eighty-eight".