432414720 has 448 divisors, whose sum is σ = 1698589440. Its totient is φ = 103809024.

The previous prime is 432414709. The next prime is 432414721. The reversal of 432414720 is 27414234.

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

It is not an unprimeable number, because it can be changed into a prime (432414721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18800629 + ... + 18800651.

Almost surely, 2^432414720 is an apocalyptic number.

432414720 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 432414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849294720).

432414720 is an abundant number, since it is smaller than the sum of its proper divisors (1266174720).

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

432414720 is a wasteful number, since it uses less digits than its factorization.

432414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 432414720 is about 20794.5839102397. The cubic root of 432414720 is about 756.1944574102.

Adding to 432414720 its reverse (27414234), we get a palindrome (459828954).

It can be divided in two parts, 43241 and 4720, that added together give a square (47961 = 219²).

The spelling of 432414720 in words is "four hundred thirty-two million, four hundred fourteen thousand, seven hundred twenty".