492015600 has 120 divisors (see below), whose sum is σ = 1751249520. Its totient is φ = 131201280.

The previous prime is 492015571. The next prime is 492015607. The reversal of 492015600 is 6510294.

492015600 is a `hidden beast` number, since 49 + 2 + 0 + 15 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492015607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11979 + ... + 33578.

It is an arithmetic number, because the mean of its divisors is an integer number (14593746).

Almost surely, 2^492015600 is an apocalyptic number.

492015600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

492015600 is an abundant number, since it is smaller than the sum of its proper divisors (1259233920).

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

492015600 is a wasteful number, since it uses less digits than its factorization.

492015600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45584 (or 45567 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 492015600 is about 22181.4246611889. The cubic root of 492015600 is about 789.4530209329.

Adding to 492015600 its reverse (6510294), we get a palindrome (498525894).

The spelling of 492015600 in words is "four hundred ninety-two million, fifteen thousand, six hundred".