486638640 has 120 divisors (see below), whose sum is σ = 1720358640. Its totient is φ = 122936832.

The previous prime is 486638629. The next prime is 486638671. The reversal of 486638640 is 46836684.

486638640 is a `hidden beast` number, since 4 + 8 + 6 + 638 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4107 + ... + 31466.

It is an arithmetic number, because the mean of its divisors is an integer number (14336322).

Almost surely, 2^486638640 is an apocalyptic number.

486638640 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 486638640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860179320).

486638640 is an abundant number, since it is smaller than the sum of its proper divisors (1233720000).

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

486638640 is a wasteful number, since it uses less digits than its factorization.

486638640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35611 (or 35602 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 486638640 is about 22059.8875790426. The cubic root of 486638640 is about 786.5666523557.

The spelling of 486638640 in words is "four hundred eighty-six million, six hundred thirty-eight thousand, six hundred forty".