485358400 has 84 divisors (see below), whose sum is σ = 1198737760. Its totient is φ = 193420800.

The previous prime is 485358373. The next prime is 485358403. The reversal of 485358400 is 4853584.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 485358400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485358403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 702055 + ... + 702745.

Almost surely, 2^485358400 is an apocalyptic number.

485358400 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 485358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599368880).

485358400 is an abundant number, since it is smaller than the sum of its proper divisors (713379360).

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

485358400 is a wasteful number, since it uses less digits than its factorization.

485358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 485358400 is about 22030.8510956794. The cubic root of 485358400 is about 785.8762848965.

485358400 divided by its reverse (4853584) gives a square (100 = 10²).

The spelling of 485358400 in words is "four hundred eighty-five million, three hundred fifty-eight thousand, four hundred".