432967680 has 364 divisors, whose sum is σ = 1611497340. Its totient is φ = 111476736.

The previous prime is 432967589. The next prime is 432967681. The reversal of 432967680 is 86769234.

It can be written as a sum of positive squares in 2 ways, for example, as 191102976 + 241864704 = 13824^2 + 15552^2 .

It is a super-2 number, since 2×432967680² = 374922023849164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432967681) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14929906 + ... + 14929934.

Almost surely, 2^432967680 is an apocalyptic number.

432967680 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 432967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805748670).

432967680 is an abundant number, since it is smaller than the sum of its proper divisors (1178529660).

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

432967680 is an frugal number, since it uses more digits than its factorization.

432967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 432967680 is about 20807.8754321531. The cubic root of 432967680 is about 756.5166536390.

The spelling of 432967680 in words is "four hundred thirty-two million, nine hundred sixty-seven thousand, six hundred eighty".