492528600 has 120 divisors (see below), whose sum is σ = 1710681060. Its totient is φ = 131336640.

The previous prime is 492528577. The next prime is 492528623. The reversal of 492528600 is 6825294.

It is a happy number.

492528600 is a `hidden beast` number, since 4 + 9 + 25 + 28 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (492528577) and next prime (492528623).

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 (36).

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 999 + ... + 31401.

Almost surely, 2^492528600 is an apocalyptic number.

492528600 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 492528600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855340530).

492528600 is an abundant number, since it is smaller than the sum of its proper divisors (1218152460).

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

492528600 is a wasteful number, since it uses less digits than its factorization.

492528600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30431 (or 30413 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 492528600 is about 22192.9853782676. The cubic root of 492528600 is about 789.7272999917.

The spelling of 492528600 in words is "four hundred ninety-two million, five hundred twenty-eight thousand, six hundred".