471935072 has 192 divisors, whose sum is σ = 1193472000. Its totient is φ = 182891520.

The previous prime is 471935071. The next prime is 471935081. The reversal of 471935072 is 270539174.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471935071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6464828 + ... + 6464900.

It is an arithmetic number, because the mean of its divisors is an integer number (6216000).

Almost surely, 2^471935072 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 471935072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596736000).

471935072 is an abundant number, since it is smaller than the sum of its proper divisors (721536928).

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

471935072 is a wasteful number, since it uses less digits than its factorization.

471935072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 471935072 is about 21724.0666542892. The cubic root of 471935072 is about 778.5635803410.

The spelling of 471935072 in words is "four hundred seventy-one million, nine hundred thirty-five thousand, seventy-two".