486408600 has 288 divisors, whose sum is σ = 1764172800. Its totient is φ = 119750400.

The previous prime is 486408583. The next prime is 486408617. The reversal of 486408600 is 6804684.

486408600 is a `hidden beast` number, since 4 + 8 + 6 + 40 + 8 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (486408583) and next prime (486408617).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1283211 + ... + 1283589.

It is an arithmetic number, because the mean of its divisors is an integer number (6125600).

Almost surely, 2^486408600 is an apocalyptic number.

486408600 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 486408600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882086400).

486408600 is an abundant number, since it is smaller than the sum of its proper divisors (1277764200).

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

486408600 is a wasteful number, since it uses less digits than its factorization.

486408600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 486408600 is about 22054.6729742248. The cubic root of 486408600 is about 786.4426929490.

The spelling of 486408600 in words is "four hundred eighty-six million, four hundred eight thousand, six hundred".