485751200 has 216 divisors, whose sum is σ = 1381411584. Its totient is φ = 165376000.

The previous prime is 485751181. The next prime is 485751209. The reversal of 485751200 is 2157584.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (485751209) 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 35 ways as a sum of consecutive naturals, for example, 2543105 + ... + 2543295.

It is an arithmetic number, because the mean of its divisors is an integer number (6395424).

Almost surely, 2^485751200 is an apocalyptic number.

485751200 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 485751200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690705792).

485751200 is an abundant number, since it is smaller than the sum of its proper divisors (895660384).

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

485751200 is a wasteful number, since it uses less digits than its factorization.

485751200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 485751200 is about 22039.7640640729. The cubic root of 485751200 is about 786.0882306582.

The spelling of 485751200 in words is "four hundred eighty-five million, seven hundred fifty-one thousand, two hundred".