432775560 has 128 divisors (see below), whose sum is σ = 1488430080. Its totient is φ = 98611968.

The previous prime is 432775507. The next prime is 432775571. The reversal of 432775560 is 65577234.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371539 + ... + 372701.

It is an arithmetic number, because the mean of its divisors is an integer number (11628360).

Almost surely, 2^432775560 is an apocalyptic number.

432775560 is a gapful number since it is divisible by the number (40) 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 432775560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744215040).

432775560 is an abundant number, since it is smaller than the sum of its proper divisors (1055654520).

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

432775560 is a wasteful number, since it uses less digits than its factorization.

432775560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The square root of 432775560 is about 20803.2583986259. The cubic root of 432775560 is about 756.4047411422.

The spelling of 432775560 in words is "four hundred thirty-two million, seven hundred seventy-five thousand, five hundred sixty".