492825600 has 528 divisors, whose sum is σ = 1949399040. Its totient is φ = 121651200.

The previous prime is 492825587. The next prime is 492825611. The reversal of 492825600 is 6528294.

It is a happy number.

492825600 is a `hidden beast` number, since 4 + 9 + 28 + 25 + 600 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15897585 + ... + 15897615.

Almost surely, 2^492825600 is an apocalyptic number.

492825600 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 492825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974699520).

492825600 is an abundant number, since it is smaller than the sum of its proper divisors (1456573440).

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

492825600 is a wasteful number, since it uses less digits than its factorization.

492825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 64 counting only the distinct ones).

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

The square root of 492825600 is about 22199.6756733066. The cubic root of 492825600 is about 789.8860060910.

The spelling of 492825600 in words is "four hundred ninety-two million, eight hundred twenty-five thousand, six hundred".