471474432 has 432 divisors, whose sum is σ = 1687428288. Its totient is φ = 129392640.

The previous prime is 471474427. The next prime is 471474433. The reversal of 471474432 is 234474174.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (471474433) 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, 8895718 + ... + 8895770.

It is an arithmetic number, because the mean of its divisors is an integer number (3906084).

Almost surely, 2^471474432 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 471474432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843714144).

471474432 is an abundant number, since it is smaller than the sum of its proper divisors (1215953856).

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

471474432 is a wasteful number, since it uses less digits than its factorization.

471474432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 82 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 471474432 is about 21713.4619994141. The cubic root of 471474432 is about 778.3101879452.

It can be divided in two parts, 471474 and 432, that added together give a triangular number (471906 = T₉₇₁).

The spelling of 471474432 in words is "four hundred seventy-one million, four hundred seventy-four thousand, four hundred thirty-two".