472613600 has 288 divisors, whose sum is σ = 1349913600. Its totient is φ = 160358400.

The previous prime is 472613597. The next prime is 472613611. The reversal of 472613600 is 6316274.

It is a super-2 number, since 2×472613600² = 446727229809920000, which contains 22 as substring.

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, 8010371 + ... + 8010429.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2^472613600 is an apocalyptic number.

472613600 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 472613600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674956800).

472613600 is an abundant number, since it is smaller than the sum of its proper divisors (877300000).

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

472613600 is a wasteful number, since it uses less digits than its factorization.

472613600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 472613600 is about 21739.6780104950. The cubic root of 472613600 is about 778.9365300992.

Adding to 472613600 its reverse (6316274), we get a palindrome (478929874).

The spelling of 472613600 in words is "four hundred seventy-two million, six hundred thirteen thousand, six hundred".