486283075600 has 405 divisors, whose sum is σ = 1448627119077. Its totient is φ = 156382679040.

The previous prime is 486283075589. The next prime is 486283075631. The reversal of 486283075600 is 6570382684.

The square root of 486283075600 is 697340.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 3157990416 + 483125085184 = 56196^2 + 695072^2 .

It is a super-2 number, since 2×486283075600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1659669054 + ... + 1659669346.

Almost surely, 2^486283075600 is an apocalyptic number.

486283075600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

486283075600 is the 697340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486283075600

486283075600 is an abundant number, since it is smaller than the sum of its proper divisors (962344043477).

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

486283075600 is a wasteful number, since it uses less digits than its factorization.

486283075600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

Multiplying 486283075600 by its sum of digits (49), we get a square (23827870704400 = 4881380²).

486283075600 divided by its sum of digits (49) gives a square (9924144400 = 99620²).

The spelling of 486283075600 in words is "four hundred eighty-six billion, two hundred eighty-three million, seventy-five thousand, six hundred".