492032000 has 156 divisors (see below), whose sum is σ = 1268851428. Its totient is φ = 190464000.

The previous prime is 492031997. The next prime is 492032027. The reversal of 492032000 is 230294.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 15745024 + 476286976 = 3968^2 + 21824^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 15871985 + ... + 15872015.

It is an arithmetic number, because the mean of its divisors is an integer number (8133663).

Almost surely, 2^492032000 is an apocalyptic number.

492032000 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 492032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634425714).

492032000 is an abundant number, since it is smaller than the sum of its proper divisors (776819428).

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

492032000 is an frugal number, since it uses more digits than its factorization.

492032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 492032000 is about 22181.7943367979. The cubic root of 492032000 is about 789.4617922575.

Multiplying 492032000 by its sum of digits (20), we get a square (9840640000 = 99200²).

492032000 divided by its sum of digits (20) gives a square (24601600 = 4960²).

Adding to 492032000 its reverse (230294), we get a palindrome (492262294).

The spelling of 492032000 in words is "four hundred ninety-two million, thirty-two thousand".