492553600 has 192 divisors, whose sum is σ = 1517760000. Its totient is φ = 153446400.

The previous prime is 492553577. The next prime is 492553601. The reversal of 492553600 is 6355294.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492553601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245401 + ... + 247399.

It is an arithmetic number, because the mean of its divisors is an integer number (7905000).

Almost surely, 2^492553600 is an apocalyptic number.

492553600 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 492553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758880000).

492553600 is an abundant number, since it is smaller than the sum of its proper divisors (1025206400).

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

492553600 is a wasteful number, since it uses less digits than its factorization.

492553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 492553600 is about 22193.5486121530. The cubic root of 492553600 is about 789.7406615498.

The spelling of 492553600 in words is "four hundred ninety-two million, five hundred fifty-three thousand, six hundred".