472205328 has 240 divisors, whose sum is σ = 1564721280. Its totient is φ = 119771136.

The previous prime is 472205291. The next prime is 472205333. The reversal of 472205328 is 823502274.

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, 2061918 + ... + 2062146.

It is an arithmetic number, because the mean of its divisors is an integer number (6519672).

Almost surely, 2^472205328 is an apocalyptic number.

472205328 is a gapful number since it is divisible by the number (48) 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 472205328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782360640).

472205328 is an abundant number, since it is smaller than the sum of its proper divisors (1092515952).

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

472205328 is a wasteful number, since it uses less digits than its factorization.

472205328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 472205328 is about 21730.2859622233. The cubic root of 472205328 is about 778.7121681022.

The spelling of 472205328 in words is "four hundred seventy-two million, two hundred five thousand, three hundred twenty-eight".