493342000 has 80 divisors (see below), whose sum is σ = 1205672832. Its totient is φ = 195225600.

The previous prime is 493341983. The next prime is 493342001. The reversal of 493342000 is 243394.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (493342001) 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, 192729 + ... + 195271.

Almost surely, 2^493342000 is an apocalyptic number.

493342000 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 493342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602836416).

493342000 is an abundant number, since it is smaller than the sum of its proper divisors (712330832).

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

493342000 is a wasteful number, since it uses less digits than its factorization.

493342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2663 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 493342000 is about 22211.3034286599. The cubic root of 493342000 is about 790.1617998991.

Adding to 493342000 its reverse (243394), we get a palindrome (493585394).

The spelling of 493342000 in words is "four hundred ninety-three million, three hundred forty-two thousand".