485385600 has 384 divisors, whose sum is σ = 1894164480. Its totient is φ = 106905600.

The previous prime is 485385599. The next prime is 485385617. The reversal of 485385600 is 6583584.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 2083084 + ... + 2083316.

It is an arithmetic number, because the mean of its divisors is an integer number (4932720).

Almost surely, 2^485385600 is an apocalyptic number.

485385600 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 485385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947082240).

485385600 is an abundant number, since it is smaller than the sum of its proper divisors (1408778880).

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

485385600 is a wasteful number, since it uses less digits than its factorization.

485385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 485385600 is about 22031.4684031728. The cubic root of 485385600 is about 785.8909650693.

The spelling of 485385600 in words is "four hundred eighty-five million, three hundred eighty-five thousand, six hundred".