434640180 has 96 divisors (see below), whose sum is σ = 1342672128. Its totient is φ = 104371200.

The previous prime is 434640137. The next prime is 434640209. The reversal of 434640180 is 81046434.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25185 + ... + 38775.

It is an arithmetic number, because the mean of its divisors is an integer number (13986168).

Almost surely, 2^434640180 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 434640180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671336064).

434640180 is an abundant number, since it is smaller than the sum of its proper divisors (908031948).

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

434640180 is a wasteful number, since it uses less digits than its factorization.

434640180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13657 (or 13655 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 434640180 is about 20848.0258058167. The cubic root of 434640180 is about 757.4895117763.

The spelling of 434640180 in words is "four hundred thirty-four million, six hundred forty thousand, one hundred eighty".