434131740 has 216 divisors, whose sum is σ = 1571300640. Its totient is φ = 94929408.

The previous prime is 434131723. The next prime is 434131751. The reversal of 434131740 is 47131434.

434131740 is a `hidden beast` number, since 4 + 341 + 317 + 4 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 3982806 + ... + 3982914.

It is an arithmetic number, because the mean of its divisors is an integer number (7274540).

Almost surely, 2^434131740 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 434131740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785650320).

434131740 is an abundant number, since it is smaller than the sum of its proper divisors (1137168900).

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

434131740 is a wasteful number, since it uses less digits than its factorization.

434131740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 434131740 is about 20835.8282772728. The cubic root of 434131740 is about 757.1940273271.

The spelling of 434131740 in words is "four hundred thirty-four million, one hundred thirty-one thousand, seven hundred forty".