485265600 has 336 divisors, whose sum is σ = 1814169600. Its totient is φ = 126120960.

The previous prime is 485265593. The next prime is 485265631. The reversal of 485265600 is 6562584.

485265600 is a `hidden beast` number, since 48 + 5 + 2 + 6 + 5 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2030281 + ... + 2030519.

Almost surely, 2^485265600 is an apocalyptic number.

485265600 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 485265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907084800).

485265600 is an abundant number, since it is smaller than the sum of its proper divisors (1328904000).

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

485265600 is a wasteful number, since it uses less digits than its factorization.

485265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 485265600 is about 22028.7448575719. The cubic root of 485265600 is about 785.8261954727.

It can be divided in two parts, 485 and 265600, that added together give a triangular number (266085 = T₇₂₉).

The spelling of 485265600 in words is "four hundred eighty-five million, two hundred sixty-five thousand, six hundred".