432664320 has 144 divisors (see below), whose sum is σ = 1507588992. Its totient is φ = 104878080.

The previous prime is 432664313. The next prime is 432664321. The reversal of 432664320 is 23466234.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432664321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37119 + ... + 47361.

It is an arithmetic number, because the mean of its divisors is an integer number (10469368).

Almost surely, 2^432664320 is an apocalyptic number.

432664320 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 432664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753794496).

432664320 is an abundant number, since it is smaller than the sum of its proper divisors (1074924672).

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

432664320 is a wasteful number, since it uses less digits than its factorization.

432664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10278 (or 10264 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 432664320 is about 20800.5846071691. The cubic root of 432664320 is about 756.3399271975.

It can be divided in two parts, 43266 and 4320, that added together give a triangular number (47586 = T₃₀₈).

The spelling of 432664320 in words is "four hundred thirty-two million, six hundred sixty-four thousand, three hundred twenty".