432020736 has 144 divisors (see below), whose sum is σ = 1460233600. Its totient is φ = 123420672.

The previous prime is 432020723. The next prime is 432020759. The reversal of 432020736 is 637020234.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43920 + ... + 52848.

Almost surely, 2^432020736 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 432020736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730116800).

432020736 is an abundant number, since it is smaller than the sum of its proper divisors (1028212864).

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

432020736 is an equidigital number, since it uses as much as digits as its factorization.

432020736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8961 (or 8941 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 432020736 is about 20785.1085154733. The cubic root of 432020736 is about 755.9647249855.

The spelling of 432020736 in words is "four hundred thirty-two million, twenty thousand, seven hundred thirty-six".