492208800 has 144 divisors (see below), whose sum is σ = 1626583392. Its totient is φ = 129254400.

The previous prime is 492208781. The next prime is 492208819. The reversal of 492208800 is 8802294.

It is an interprime number because it is at equal distance from previous prime (492208781) and next prime (492208819).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159270 + ... + 162330.

It is an arithmetic number, because the mean of its divisors is an integer number (11295718).

Almost surely, 2^492208800 is an apocalyptic number.

492208800 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 492208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813291696).

492208800 is an abundant number, since it is smaller than the sum of its proper divisors (1134374592).

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

492208800 is a wasteful number, since it uses less digits than its factorization.

492208800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 492208800 is about 22185.7792290467. The cubic root of 492208800 is about 789.5563390420.

The spelling of 492208800 in words is "four hundred ninety-two million, two hundred eight thousand, eight hundred".