485251200 has 576 divisors, whose sum is σ = 2071742400. Its totient is φ = 105799680.

The previous prime is 485251139. The next prime is 485251201. The reversal of 485251200 is 2152584.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (485251201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5846359 + ... + 5846441.

It is an arithmetic number, because the mean of its divisors is an integer number (3596775).

Almost surely, 2^485251200 is an apocalyptic number.

485251200 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 485251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035871200).

485251200 is an abundant number, since it is smaller than the sum of its proper divisors (1586491200).

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

485251200 is a wasteful number, since it uses less digits than its factorization.

485251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 485251200 is about 22028.4180094713. The cubic root of 485251200 is about 785.8184224036.

The spelling of 485251200 in words is "four hundred eighty-five million, two hundred fifty-one thousand, two hundred".