432001064 has 64 divisors (see below), whose sum is σ = 909792000. Its totient is φ = 190624000.

The previous prime is 432001061. The next prime is 432001109. The reversal of 432001064 is 460100234.

432001064 = T₃₄₇ + T₃₄₈ + ... + T₁₃₈₀.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (432001061) 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, 615914 + ... + 616614.

It is an arithmetic number, because the mean of its divisors is an integer number (14215500).

Almost surely, 2^432001064 is an apocalyptic number.

432001064 is a gapful number since it is divisible by the number (44) 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 432001064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454896000).

432001064 is an abundant number, since it is smaller than the sum of its proper divisors (477790936).

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

432001064 is a wasteful number, since it uses less digits than its factorization.

432001064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 432001064 is about 20784.6352866727. The cubic root of 432001064 is about 755.9532505642.

Adding to 432001064 its reverse (460100234), we get a palindrome (892101298).

The spelling of 432001064 in words is "four hundred thirty-two million, one thousand, sixty-four".