486434520 has 288 divisors, whose sum is σ = 1873544400. Its totient is φ = 108725760.

The previous prime is 486434497. The next prime is 486434563. The reversal of 486434520 is 25434684.

486434520 is a `hidden beast` number, since 4 + 8 + 643 + 4 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 565851 + ... + 566709.

Almost surely, 2^486434520 is an apocalyptic number.

486434520 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 486434520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936772200).

486434520 is an abundant number, since it is smaller than the sum of its proper divisors (1387109880).

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

486434520 is a wasteful number, since it uses less digits than its factorization.

486434520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 486434520 is about 22055.2605969642. The cubic root of 486434520 is about 786.4566621596.

The spelling of 486434520 in words is "four hundred eighty-six million, four hundred thirty-four thousand, five hundred twenty".