432476064 has 96 divisors (see below), whose sum is σ = 1271350080. Its totient is φ = 143020800.

The previous prime is 432476063. The next prime is 432476113. The reversal of 432476064 is 460674234.

432476064 is a `hidden beast` number, since 4 + 3 + 2 + 47 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (432476063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111274 + ... + 115094.

It is an arithmetic number, because the mean of its divisors is an integer number (13243230).

Almost surely, 2^432476064 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 432476064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635675040).

432476064 is an abundant number, since it is smaller than the sum of its proper divisors (838874016).

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

432476064 is a wasteful number, since it uses less digits than its factorization.

432476064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3971 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 432476064 is about 20796.0588573893. The cubic root of 432476064 is about 756.2302145952.

The spelling of 432476064 in words is "four hundred thirty-two million, four hundred seventy-six thousand, sixty-four".