485896320 has 640 divisors, whose sum is σ = 2156394240. Its totient is φ = 101523456.

The previous prime is 485896319. The next prime is 485896331. The reversal of 485896320 is 23698584.

485896320 is a `hidden beast` number, since 4 + 8 + 5 + 8 + 9 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4717389 + ... + 4717491.

It is an arithmetic number, because the mean of its divisors is an integer number (3369366).

Almost surely, 2^485896320 is an apocalyptic number.

485896320 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 485896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078197120).

485896320 is an abundant number, since it is smaller than the sum of its proper divisors (1670497920).

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

485896320 is a wasteful number, since it uses less digits than its factorization.

485896320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 485896320 is about 22043.0560494683. The cubic root of 485896320 is about 786.1665051367.

The spelling of 485896320 in words is "four hundred eighty-five million, eight hundred ninety-six thousand, three hundred twenty".