432509989464 has 576 divisors, whose sum is σ = 1491330297600. Its totient is φ = 110557923840.

The previous prime is 432509989451. The next prime is 432509989469. The reversal of 432509989464 is 464989905234.

432509989464 is a `hidden beast` number, since 4 + 3 + 2 + 5 + 0 + 99 + 89 + 464 = 666.

It is a super-2 number, since 2×432509989464² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432509989469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 395708502 + ... + 395709594.

It is an arithmetic number, because the mean of its divisors is an integer number (2589115100).

Almost surely, 2^432509989464 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 432509989464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745665148800).

432509989464 is an abundant number, since it is smaller than the sum of its proper divisors (1058820308136).

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

432509989464 is a wasteful number, since it uses less digits than its factorization.

432509989464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 432509989464 in words is "four hundred thirty-two billion, five hundred nine million, nine hundred eighty-nine thousand, four hundred sixty-four".