472332600 has 192 divisors, whose sum is σ = 1698105600. Its totient is φ = 120447360.

The previous prime is 472332569. The next prime is 472332611. The reversal of 472332600 is 6233274.

472332600 is a `hidden beast` number, since 4 + 7 + 23 + 32 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 122299 + ... + 126101.

It is an arithmetic number, because the mean of its divisors is an integer number (8844300).

Almost surely, 2^472332600 is an apocalyptic number.

472332600 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 472332600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849052800).

472332600 is an abundant number, since it is smaller than the sum of its proper divisors (1225773000).

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

472332600 is a wasteful number, since it uses less digits than its factorization.

472332600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3851 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 472332600 is about 21733.2142123525. The cubic root of 472332600 is about 778.7821230889.

Adding to 472332600 its reverse (6233274), we get a palindrome (478565874).

The spelling of 472332600 in words is "four hundred seventy-two million, three hundred thirty-two thousand, six hundred".