485428843468800 has 5184 divisors, whose sum is σ = 2302646621184000. Its totient is φ = 100604967321600.

The previous prime is 485428843468799. The next prime is 485428843468841. The reversal of 485428843468800 is 8864348824584.

485428843468800 is a `hidden beast` number, since 4 + 8 + 5 + 4 + 2 + 8 + 84 + 3 + 468 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a super-3 number, since 3×485428843468800³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1267438233409 + ... + 1267438233791.

It is an arithmetic number, because the mean of its divisors is an integer number (444183376000).

Almost surely, 2^{485428843468800} is an apocalyptic number.

485428843468800 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 485428843468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151323310592000).

485428843468800 is an abundant number, since it is smaller than the sum of its proper divisors (1817217777715200).

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

485428843468800 is an frugal number, since it uses more digits than its factorization.

485428843468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1509949440, while the sum is 72.

The spelling of 485428843468800 in words is "four hundred eighty-five trillion, four hundred twenty-eight billion, eight hundred forty-three million, four hundred sixty-eight thousand, eight hundred".