472105984 has 99 divisors (see below), whose sum is σ = 1109267253. Its totient is φ = 200245248.

The previous prime is 472105967. The next prime is 472105999. The reversal of 472105984 is 489501274.

The square root of 472105984 is 21728.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 211993600 + 260112384 = 14560^2 + 16128^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4867024 + ... + 4867120.

Almost surely, 2^472105984 is an apocalyptic number.

472105984 is the 21728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472105984

472105984 is an abundant number, since it is smaller than the sum of its proper divisors (637161269).

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

472105984 is an frugal number, since it uses more digits than its factorization.

472105984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The cubic root of 472105984 is about 778.6575549902.

The spelling of 472105984 in words is "four hundred seventy-two million, one hundred five thousand, nine hundred eighty-four".