485088000 has 288 divisors, whose sum is σ = 1673398272. Its totient is φ = 124416000.

The previous prime is 485087989. The next prime is 485088001. The reversal of 485088000 is 880584.

It is not an unprimeable number, because it can be changed into a prime (485088001) 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, 2975919 + ... + 2976081.

Almost surely, 2^485088000 is an apocalyptic number.

485088000 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 485088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836699136).

485088000 is an abundant number, since it is smaller than the sum of its proper divisors (1188310272).

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

485088000 is a wasteful number, since it uses less digits than its factorization.

485088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 485088000 is about 22024.7133920058. The cubic root of 485088000 is about 785.7303168709.

The spelling of 485088000 in words is "four hundred eighty-five million, eighty-eight thousand".