432720 has 60 divisors (see below), whose sum is σ = 1455636. Its totient is φ = 115200.

The previous prime is 432713. The next prime is 432721. The reversal of 432720 is 27234.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 266256 + 166464 = 516^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 432693 and 432702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432721) by changing a digit.

432720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 420 + ... + 1020.

2⁴³²⁷²⁰ is an apocalyptic number.

432720 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 432720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727818).

432720 is an abundant number, since it is smaller than the sum of its proper divisors (1022916).

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

432720 is a wasteful number, since it uses less digits than its factorization.

432720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 432720 is about 657.8145635360. The cubic root of 432720 is about 75.6372370517.

Adding to 432720 its reverse (27234), we get a palindrome (459954).

The spelling of 432720 in words is "four hundred thirty-two thousand, seven hundred twenty".