432840080 has 40 divisors (see below), whose sum is σ = 1041060600. Its totient is φ = 167164928.

The previous prime is 432840053. The next prime is 432840091. The reversal of 432840080 is 80048234.

It can be written as a sum of positive squares in 4 ways, for example, as 48052624 + 384787456 = 6932^2 + 19616^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90965 + ... + 95604.

It is an arithmetic number, because the mean of its divisors is an integer number (26026515).

Almost surely, 2^432840080 is an apocalyptic number.

432840080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432840080 is an abundant number, since it is smaller than the sum of its proper divisors (608220520).

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

432840080 is a wasteful number, since it uses less digits than its factorization.

432840080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186611 (or 186605 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 432840080 is about 20804.8090594458. The cubic root of 432840080 is about 756.4423286074.

The spelling of 432840080 in words is "four hundred thirty-two million, eight hundred forty thousand, eighty".