486097200 has 210 divisors, whose sum is σ = 1752022164. Its totient is φ = 129548160.

The previous prime is 486097193. The next prime is 486097207. The reversal of 486097200 is 2790684.

486097200 is a `hidden beast` number, since 48 + 609 + 7 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (486097193) and next prime (486097207).

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 (486097207) 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 41 ways as a sum of consecutive naturals, for example, 290767 + ... + 292433.

Almost surely, 2^486097200 is an apocalyptic number.

486097200 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 486097200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876011082).

486097200 is an abundant number, since it is smaller than the sum of its proper divisors (1265924964).

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

486097200 is a wasteful number, since it uses less digits than its factorization.

486097200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1677 counting only the distinct ones).

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

The square root of 486097200 is about 22047.6121156011. The cubic root of 486097200 is about 786.2748295966.

The spelling of 486097200 in words is "four hundred eighty-six million, ninety-seven thousand, two hundred".