493884000 has 384 divisors, whose sum is σ = 1910563200. Its totient is φ = 123494400.

The previous prime is 493883993. The next prime is 493884019. The reversal of 493884000 is 488394.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1835866 + ... + 1836134.

It is an arithmetic number, because the mean of its divisors is an integer number (4975425).

Almost surely, 2^493884000 is an apocalyptic number.

493884000 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 493884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955281600).

493884000 is an abundant number, since it is smaller than the sum of its proper divisors (1416679200).

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

493884000 is a wasteful number, since it uses less digits than its factorization.

493884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 493884000 is about 22223.5010743132. The cubic root of 493884000 is about 790.4510589765.

The spelling of 493884000 in words is "four hundred ninety-three million, eight hundred eighty-four thousand".