485568000 has 320 divisors, whose sum is σ = 1800152640. Its totient is φ = 129024000.

The previous prime is 485567989. The next prime is 485568001. The reversal of 485568000 is 865584.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485568001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1727860 + ... + 1728140.

It is an arithmetic number, because the mean of its divisors is an integer number (5625477).

Almost surely, 2^485568000 is an apocalyptic number.

485568000 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 485568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900076320).

485568000 is an abundant number, since it is smaller than the sum of its proper divisors (1314584640).

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

485568000 is an equidigital number, since it uses as much as digits as its factorization.

485568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 485568000 is about 22035.6075477850. The cubic root of 485568000 is about 785.9893944143.

The spelling of 485568000 in words is "four hundred eighty-five million, five hundred sixty-eight thousand".