486440640 has 420 divisors, whose sum is σ = 2018117376. Its totient is φ = 110896128.

The previous prime is 486440609. The next prime is 486440653. The reversal of 486440640 is 46044684.

486440640 is a `hidden beast` number, since 4 + 8 + 6 + 4 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

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

It is a junction number, because it is equal to n+sod(n) for n = 486440595 and 486440604.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1269889 + ... + 1270271.

Almost surely, 2^486440640 is an apocalyptic number.

486440640 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 486440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009058688).

486440640 is an abundant number, since it is smaller than the sum of its proper divisors (1531676736).

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

486440640 is a wasteful number, since it uses less digits than its factorization.

486440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 486440640 is about 22055.3993389374. The cubic root of 486440640 is about 786.4599603730.

The spelling of 486440640 in words is "four hundred eighty-six million, four hundred forty thousand, six hundred forty".