486414400 has 42 divisors (see below), whose sum is σ = 1196887370. Its totient is φ = 194565120.

The previous prime is 486414367. The next prime is 486414431. The reversal of 486414400 is 4414684.

It can be written as a sum of positive squares in 3 ways, for example, as 4875264 + 481539136 = 2208^2 + 21944^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 150405 + ... + 153604.

Almost surely, 2^486414400 is an apocalyptic number.

486414400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

486414400 is an abundant number, since it is smaller than the sum of its proper divisors (710472970).

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

486414400 is a wasteful number, since it uses less digits than its factorization.

486414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304031 (or 304016 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 486414400 is about 22054.8044652407. The cubic root of 486414400 is about 786.4458188185.

The spelling of 486414400 in words is "four hundred eighty-six million, four hundred fourteen thousand, four hundred".