486141600 has 288 divisors, whose sum is σ = 1904878080. Its totient is φ = 105200640.

The previous prime is 486141559. The next prime is 486141613. The reversal of 486141600 is 6141684.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318439 + ... + 319961.

It is an arithmetic number, because the mean of its divisors is an integer number (6614160).

Almost surely, 2^486141600 is an apocalyptic number.

486141600 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 486141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952439040).

486141600 is an abundant number, since it is smaller than the sum of its proper divisors (1418736480).

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

486141600 is a wasteful number, since it uses less digits than its factorization.

486141600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 486141600 is about 22048.6190043730. The cubic root of 486141600 is about 786.2987682517.

The spelling of 486141600 in words is "four hundred eighty-six million, one hundred forty-one thousand, six hundred".