472355015233200 has 240 divisors, whose sum is σ = 1651068960240000. Its totient is φ = 114482357452800.

The previous prime is 472355015233181. The next prime is 472355015233201. The reversal of 472355015233200 is 2332510553274.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (472355015233201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49741776 + ... + 58471824.

It is an arithmetic number, because the mean of its divisors is an integer number (6879454001000).

Almost surely, 2^{472355015233200} is an apocalyptic number.

472355015233200 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 472355015233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825534480120000).

472355015233200 is an abundant number, since it is smaller than the sum of its proper divisors (1178713945006800).

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

472355015233200 is a wasteful number, since it uses less digits than its factorization.

472355015233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8734180 (or 8734169 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 42.

Adding to 472355015233200 its reverse (2332510553274), we get a palindrome (474687525786474).

The spelling of 472355015233200 in words is "four hundred seventy-two trillion, three hundred fifty-five billion, fifteen million, two hundred thirty-three thousand, two hundred".