432779064 has 128 divisors (see below), whose sum is σ = 1202688000. Its totient is φ = 129153024.

The previous prime is 432779057. The next prime is 432779099. The reversal of 432779064 is 460977234.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 934497 + ... + 934959.

It is an arithmetic number, because the mean of its divisors is an integer number (9396000).

Almost surely, 2^432779064 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 432779064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601344000).

432779064 is an abundant number, since it is smaller than the sum of its proper divisors (769908936).

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

432779064 is a wasteful number, since it uses less digits than its factorization.

432779064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 432779064 is about 20803.3426160317. The cubic root of 432779064 is about 756.4067825661.

The spelling of 432779064 in words is "four hundred thirty-two million, seven hundred seventy-nine thousand, sixty-four".