492340800 has 168 divisors, whose sum is σ = 1846169536. Its totient is φ = 112527360.

The previous prime is 492340789. The next prime is 492340813. The reversal of 492340800 is 8043294.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 26274 + ... + 40926.

Almost surely, 2^492340800 is an apocalyptic number.

492340800 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 492340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923084768).

492340800 is an abundant number, since it is smaller than the sum of its proper divisors (1353828736).

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

492340800 is a wasteful number, since it uses less digits than its factorization.

492340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14685 (or 14670 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 492340800 is about 22188.7539082302. The cubic root of 492340800 is about 789.6269135092.

The spelling of 492340800 in words is "four hundred ninety-two million, three hundred forty thousand, eight hundred".