434332080 has 360 divisors, whose sum is σ = 1829226672. Its totient is φ = 91542528.

The previous prime is 434332079. The next prime is 434332109. The reversal of 434332080 is 80233434.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 458167 + ... + 459113.

Almost surely, 2^434332080 is an apocalyptic number.

434332080 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 434332080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914613336).

434332080 is an abundant number, since it is smaller than the sum of its proper divisors (1394894592).

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

434332080 is a wasteful number, since it uses less digits than its factorization.

434332080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 434332080 is about 20840.6353070150. The cubic root of 434332080 is about 757.3104842370.

The spelling of 434332080 in words is "four hundred thirty-four million, three hundred thirty-two thousand, eighty".