492856000 has 224 divisors, whose sum is σ = 1504444032. Its totient is φ = 155750400.

The previous prime is 492855973. The next prime is 492856003. The reversal of 492856000 is 658294.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492856003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 727662 + ... + 728338.

It is an arithmetic number, because the mean of its divisors is an integer number (6716268).

Almost surely, 2^492856000 is an apocalyptic number.

492856000 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 492856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752222016).

492856000 is an abundant number, since it is smaller than the sum of its proper divisors (1011588032).

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

492856000 is a wasteful number, since it uses less digits than its factorization.

492856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 492856000 is about 22200.3603574356. The cubic root of 492856000 is about 789.9022471581.

The spelling of 492856000 in words is "four hundred ninety-two million, eight hundred fifty-six thousand".