434107080 has 128 divisors (see below), whose sum is σ = 1578614400. Its totient is φ = 105235200.

The previous prime is 434107067. The next prime is 434107081. The reversal of 434107080 is 80701434.

It is a super-2 number, since 2×434107080² = 376897913812252800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (434107081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6391 + ... + 30150.

It is an arithmetic number, because the mean of its divisors is an integer number (12332925).

Almost surely, 2^434107080 is an apocalyptic number.

434107080 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 434107080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789307200).

434107080 is an abundant number, since it is smaller than the sum of its proper divisors (1144507320).

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

434107080 is a wasteful number, since it uses less digits than its factorization.

434107080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36572 (or 36562 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 434107080 is about 20835.2364997376. The cubic root of 434107080 is about 757.1796900829.

The spelling of 434107080 in words is "four hundred thirty-four million, one hundred seven thousand, eighty".