493545830400 has 1008 divisors, whose sum is σ = 2097913381200. Its totient is φ = 112750755840.

The previous prime is 493545830381. The next prime is 493545830417. The reversal of 493545830400 is 4038545394.

493545830400 is a `hidden beast` number, since 493 + 5 + 45 + 83 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 261272656 + ... + 261274544.

It is an arithmetic number, because the mean of its divisors is an integer number (2081263275).

Almost surely, 2^493545830400 is an apocalyptic number.

493545830400 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 493545830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048956690600).

493545830400 is an abundant number, since it is smaller than the sum of its proper divisors (1604367550800).

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

493545830400 is an equidigital number, since it uses as much as digits as its factorization.

493545830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 493545830400 in words is "four hundred ninety-three billion, five hundred forty-five million, eight hundred thirty thousand, four hundred".