432023140 has 72 divisors (see below), whose sum is σ = 976442040. Its totient is φ = 160482816.

The previous prime is 432023131. The next prime is 432023153. The reversal of 432023140 is 41320234.

It can be written as a sum of positive squares in 4 ways, for example, as 15618304 + 416404836 = 3952^2 + 20406^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382096 + ... + 383224.

It is an arithmetic number, because the mean of its divisors is an integer number (13561695).

Almost surely, 2^432023140 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 432023140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488221020).

432023140 is an abundant number, since it is smaller than the sum of its proper divisors (544418900).

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

432023140 is a wasteful number, since it uses less digits than its factorization.

432023140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 432023140 is about 20785.1663452569. The cubic root of 432023140 is about 755.9661271835.

Adding to 432023140 its reverse (41320234), we get a palindrome (473343374).

The spelling of 432023140 in words is "four hundred thirty-two million, twenty-three thousand, one hundred forty".