434082880 has 224 divisors, whose sum is σ = 1310883840. Its totient is φ = 132986880.

The previous prime is 434082851. The next prime is 434082889. The reversal of 434082880 is 88280434.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (434082889) 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, 1946449 + ... + 1946671.

It is an arithmetic number, because the mean of its divisors is an integer number (5852160).

Almost surely, 2^434082880 is an apocalyptic number.

434082880 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 434082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655441920).

434082880 is an abundant number, since it is smaller than the sum of its proper divisors (876800960).

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

434082880 is a wasteful number, since it uses less digits than its factorization.

434082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 434082880 is about 20834.6557446961. The cubic root of 434082880 is about 757.1656197534.

The spelling of 434082880 in words is "four hundred thirty-four million, eighty-two thousand, eight hundred eighty".