486813600 has 432 divisors, whose sum is σ = 2115614592. Its totient is φ = 102574080.

The previous prime is 486813589. The next prime is 486813629. The reversal of 486813600 is 6318684.

It is a happy number.

486813600 is a `hidden beast` number, since 48 + 6 + 8 + 1 + 3 + 600 = 666.

It is a super-3 number, since 3×486813600³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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, 654829 + ... + 655571.

It is an arithmetic number, because the mean of its divisors is an integer number (4897256).

Almost surely, 2^486813600 is an apocalyptic number.

486813600 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 486813600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057807296).

486813600 is an abundant number, since it is smaller than the sum of its proper divisors (1628800992).

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

486813600 is a wasteful number, since it uses less digits than its factorization.

486813600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 486813600 is about 22063.8527913871. The cubic root of 486813600 is about 786.6609051894.

486813600 divided by its sum of digits (36) gives a triangular number (13522600 = T₅₂₀₀).

The spelling of 486813600 in words is "four hundred eighty-six million, eight hundred thirteen thousand, six hundred".