492249600 has 180 divisors, whose sum is σ = 1762037706. Its totient is φ = 131235840.

The previous prime is 492249577. The next prime is 492249607. The reversal of 492249600 is 6942294.

492249600 is a `hidden beast` number, since 4 + 9 + 2 + 2 + 49 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 310323456 + 181926144 = 17616^2 + 13488^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (492249607) 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 17 ways as a sum of consecutive naturals, for example, 113064 + ... + 117336.

Almost surely, 2^492249600 is an apocalyptic number.

492249600 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 492249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881018853).

492249600 is an abundant number, since it is smaller than the sum of its proper divisors (1269788106).

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

492249600 is a wasteful number, since it uses less digits than its factorization.

492249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4307 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 492249600 is about 22186.6987179256. The cubic root of 492249600 is about 789.5781543153.

The spelling of 492249600 in words is "four hundred ninety-two million, two hundred forty-nine thousand, six hundred".