493976000 has 112 divisors (see below), whose sum is σ = 1398251712. Its totient is φ = 169344000.

The previous prime is 493975981. The next prime is 493976009. The reversal of 493976000 is 679394.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493976009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51590 + ... + 60410.

Almost surely, 2^493976000 is an apocalyptic number.

493976000 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 493976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699125856).

493976000 is an abundant number, since it is smaller than the sum of its proper divisors (904275712).

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

493976000 is an equidigital number, since it uses as much as digits as its factorization.

493976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8855 (or 8835 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 493976000 is about 22225.5708588104. The cubic root of 493976000 is about 790.5001372908.

The spelling of 493976000 in words is "four hundred ninety-three million, nine hundred seventy-six thousand".