492428800 has 240 divisors, whose sum is σ = 1351734912. Its totient is φ = 176947200.

The previous prime is 492428779. The next prime is 492428803. The reversal of 492428800 is 8824294.

It is a super-2 number, since 2×492428800² = 484972246138880000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 492428800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492428803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6745564 + ... + 6745636.

Almost surely, 2^492428800 is an apocalyptic number.

492428800 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 492428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675867456).

492428800 is an abundant number, since it is smaller than the sum of its proper divisors (859306112).

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

492428800 is a wasteful number, since it uses less digits than its factorization.

492428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 492428800 is about 22190.7368061540. The cubic root of 492428800 is about 789.6739561463.

The spelling of 492428800 in words is "four hundred ninety-two million, four hundred twenty-eight thousand, eight hundred".