485395200 has 324 divisors, whose sum is σ = 1814111320. Its totient is φ = 126996480.

The previous prime is 485395199. The next prime is 485395201. The reversal of 485395200 is 2593584.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (485395199) and next prime (485395201).

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

It is not an unprimeable number, because it can be changed into a prime (485395201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9158374 + ... + 9158426.

Almost surely, 2^485395200 is an apocalyptic number.

485395200 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 485395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907055660).

485395200 is an abundant number, since it is smaller than the sum of its proper divisors (1328716120).

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

485395200 is an equidigital number, since it uses as much as digits as its factorization.

485395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 485395200 is about 22031.6862722761. The cubic root of 485395200 is about 785.8961461759.

Multiplying 485395200 by its product of nonzero digits (43200), we get a square (20969072640000 = 4579200²).

485395200 divided by its product of nonzero digits (43200) gives a square (11236 = 106²).

The spelling of 485395200 in words is "four hundred eighty-five million, three hundred ninety-five thousand, two hundred".