472308883200 has 1944 divisors, whose sum is σ = 2219274676080. Its totient is φ = 97929216000.

The previous prime is 472308883183. The next prime is 472308883201. The reversal of 472308883200 is 2388803274.

472308883200 is a `hidden beast` number, since 472 + 3 + 0 + 88 + 83 + 20 + 0 = 666.

It is a super-2 number, since 2×472308883200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472308883201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1024530970 + ... + 1024531430.

Almost surely, 2^472308883200 is an apocalyptic number.

472308883200 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 472308883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109637338040).

472308883200 is an abundant number, since it is smaller than the sum of its proper divisors (1746965792880).

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

472308883200 is a wasteful number, since it uses less digits than its factorization.

472308883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 472308883200 in words is "four hundred seventy-two billion, three hundred eight million, eight hundred eighty-three thousand, two hundred".