432161730 has 480 divisors, whose sum is σ = 1607050368. Its totient is φ = 80870400.

The previous prime is 432161693. The next prime is 432161747. The reversal of 432161730 is 37161234.

432161730 is a `hidden beast` number, since 43 + 2 + 1 + 617 + 3 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 432161694 and 432161703.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10540510 + ... + 10540550.

Almost surely, 2^432161730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432161730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803525184).

432161730 is an abundant number, since it is smaller than the sum of its proper divisors (1174888638).

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

432161730 is a wasteful number, since it uses less digits than its factorization.

432161730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 82 counting only the distinct ones).

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

The square root of 432161730 is about 20788.4999458835. The cubic root of 432161730 is about 756.0469547556.

The spelling of 432161730 in words is "four hundred thirty-two million, one hundred sixty-one thousand, seven hundred thirty".