486733632 has 336 divisors, whose sum is σ = 1679911296. Its totient is φ = 121651200.

The previous prime is 486733619. The next prime is 486733649. The reversal of 486733632 is 236337684.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×486733632² = 473819257039822848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6667548 + ... + 6667620.

It is an arithmetic number, because the mean of its divisors is an integer number (4999736).

Almost surely, 2^486733632 is an apocalyptic number.

486733632 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 486733632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839955648).

486733632 is an abundant number, since it is smaller than the sum of its proper divisors (1193177664).

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

486733632 is a wasteful number, since it uses less digits than its factorization.

486733632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its digits is 435456, while the sum is 42.

The square root of 486733632 is about 22062.0405221276. The cubic root of 486733632 is about 786.6178283703.

The spelling of 486733632 in words is "four hundred eighty-six million, seven hundred thirty-three thousand, six hundred thirty-two".