486255052800 has 2592 divisors, whose sum is σ = 2212438082400. Its totient is φ = 105106636800.

The previous prime is 486255052793. The next prime is 486255052807. The reversal of 486255052800 is 8250552684.

It is a happy number.

486255052800 is a `hidden beast` number, since 4 + 8 + 62 + 5 + 505 + 2 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (486255052793) and next prime (486255052807).

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (486255052807) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 25592371191 + ... + 25592371209.

It is an arithmetic number, because the mean of its divisors is an integer number (853564075).

Almost surely, 2^486255052800 is an apocalyptic number.

486255052800 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 486255052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106219041200).

486255052800 is an abundant number, since it is smaller than the sum of its proper divisors (1726183029600).

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

486255052800 is a wasteful number, since it uses less digits than its factorization.

486255052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 486255052800 in words is "four hundred eighty-six billion, two hundred fifty-five million, fifty-two thousand, eight hundred".