486616032 has 192 divisors, whose sum is σ = 1649894400. Its totient is φ = 136650240.

The previous prime is 486616019. The next prime is 486616043. The reversal of 486616032 is 230616684.

486616032 is a `hidden beast` number, since 4 + 8 + 6 + 616 + 0 + 32 = 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 31 ways as a sum of consecutive naturals, for example, 368269 + ... + 369587.

It is an arithmetic number, because the mean of its divisors is an integer number (8593200).

Almost surely, 2^486616032 is an apocalyptic number.

486616032 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 486616032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824947200).

486616032 is an abundant number, since it is smaller than the sum of its proper divisors (1163278368).

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

486616032 is a wasteful number, since it uses less digits than its factorization.

486616032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 486616032 is about 22059.3751498088. The cubic root of 486616032 is about 786.5544715349.

The spelling of 486616032 in words is "four hundred eighty-six million, six hundred sixteen thousand, thirty-two".