492746000 has 80 divisors (see below), whose sum is σ = 1254264960. Its totient is φ = 186710400.

The previous prime is 492745999. The next prime is 492746027. The reversal of 492746000 is 647294.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31517 + ... + 44483.

It is an arithmetic number, because the mean of its divisors is an integer number (15678312).

Almost surely, 2^492746000 is an apocalyptic number.

492746000 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 492746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627132480).

492746000 is an abundant number, since it is smaller than the sum of its proper divisors (761518960).

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

492746000 is a wasteful number, since it uses less digits than its factorization.

492746000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13009 (or 12993 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 492746000 is about 22197.8827819231. The cubic root of 492746000 is about 789.8434769749.

The spelling of 492746000 in words is "four hundred ninety-two million, seven hundred forty-six thousand".