486907200 has 630 divisors, whose sum is σ = 2047468346. Its totient is φ = 112803840.

The previous prime is 486907199. The next prime is 486907207. The reversal of 486907200 is 2709684.

It can be written as a sum of positive squares in 9 ways, for example, as 86266944 + 400640256 = 9288^2 + 20016^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486907207) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 28641592 + ... + 28641608.

Almost surely, 2^486907200 is an apocalyptic number.

486907200 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 486907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023734173).

486907200 is an abundant number, since it is smaller than the sum of its proper divisors (1560561146).

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

486907200 is a wasteful number, since it uses less digits than its factorization.

486907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 486907200 is about 22065.9738058396. The cubic root of 486907200 is about 786.7113192439.

The spelling of 486907200 in words is "four hundred eighty-six million, nine hundred seven thousand, two hundred".