434138880 has 288 divisors, whose sum is σ = 1638862848. Its totient is φ = 95846400.

The previous prime is 434138867. The next prime is 434138893. The reversal of 434138880 is 88831434.

It is an interprime number because it is at equal distance from previous prime (434138867) and next prime (434138893).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 833020 + ... + 833540.

It is an arithmetic number, because the mean of its divisors is an integer number (5690496).

Almost surely, 2^434138880 is an apocalyptic number.

434138880 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 434138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819431424).

434138880 is an abundant number, since it is smaller than the sum of its proper divisors (1204723968).

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

434138880 is a wasteful number, since it uses less digits than its factorization.

434138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 434138880 is about 20835.9996160491. Note that the first 3 decimals coincide. The cubic root of 434138880 is about 757.1981783986.

The spelling of 434138880 in words is "four hundred thirty-four million, one hundred thirty-eight thousand, eight hundred eighty".