492928800 has 576 divisors, whose sum is σ = 2061368064. Its totient is φ = 99532800.

The previous prime is 492928759. The next prime is 492928811. The reversal of 492928800 is 8829294.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8080770 + ... + 8080830.

It is an arithmetic number, because the mean of its divisors is an integer number (3578764).

Almost surely, 2^492928800 is an apocalyptic number.

492928800 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 492928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030684032).

492928800 is an abundant number, since it is smaller than the sum of its proper divisors (1568439264).

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

492928800 is a wasteful number, since it uses less digits than its factorization.

492928800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 492928800 is about 22201.9999099180. Note that the first 4 decimals coincide. The cubic root of 492928800 is about 789.9411375253.

The spelling of 492928800 in words is "four hundred ninety-two million, nine hundred twenty-eight thousand, eight hundred".