472218408900 has 1440 divisors, whose sum is σ = 1903450171392. Its totient is φ = 98985369600.

The previous prime is 472218408899. The next prime is 472218408901. The reversal of 472218408900 is 9804812274.

472218408900 is a `hidden beast` number, since 472 + 21 + 84 + 0 + 89 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (472218408899) and next prime (472218408901).

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

It is not an unprimeable number, because it can be changed into a prime (472218408901) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3446849632 + ... + 3446849768.

Almost surely, 2^472218408900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472218408900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951725085696).

472218408900 is an abundant number, since it is smaller than the sum of its proper divisors (1431231762492).

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

472218408900 is a wasteful number, since it uses less digits than its factorization.

472218408900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 472218408900 in words is "four hundred seventy-two billion, two hundred eighteen million, four hundred eight thousand, nine hundred".