432900720 has 160 divisors (see below), whose sum is σ = 1704176640. Its totient is φ = 98945280.

The previous prime is 432900701. The next prime is 432900739. The reversal of 432900720 is 27009234.

It is an interprime number because it is at equal distance from previous prime (432900701) and next prime (432900739).

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 31 ways as a sum of consecutive naturals, for example, 805 + ... + 29435.

It is an arithmetic number, because the mean of its divisors is an integer number (10651104).

Almost surely, 2^432900720 is an apocalyptic number.

432900720 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 432900720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852088320).

432900720 is an abundant number, since it is smaller than the sum of its proper divisors (1271275920).

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

432900720 is a wasteful number, since it uses less digits than its factorization.

432900720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28660 (or 28648 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 432900720 is about 20806.2663637665. The cubic root of 432900720 is about 756.4776522931.

Adding to 432900720 its reverse (27009234), we get a palindrome (459909954).

The spelling of 432900720 in words is "four hundred thirty-two million, nine hundred thousand, seven hundred twenty".