472332803145280 has 448 divisors, whose sum is σ = 1424066353661952. Its totient is φ = 144949835612160.

The previous prime is 472332803145271. The next prime is 472332803145289. The reversal of 472332803145280 is 82541308233274.

It is an interprime number because it is at equal distance from previous prime (472332803145271) and next prime (472332803145289).

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (472332803145289) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 429196692 + ... + 430295788.

It is an arithmetic number, because the mean of its divisors is an integer number (3178719539424).

Almost surely, 2^{472332803145280} is an apocalyptic number.

472332803145280 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 472332803145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712033176830976).

472332803145280 is an abundant number, since it is smaller than the sum of its proper divisors (951733550516672).

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

472332803145280 is a wasteful number, since it uses less digits than its factorization.

472332803145280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099402 (or 1099392 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 52.

The spelling of 472332803145280 in words is "four hundred seventy-two trillion, three hundred thirty-two billion, eight hundred three million, one hundred forty-five thousand, two hundred eighty".