434843640 has 576 divisors, whose sum is σ = 1882258560. Its totient is φ = 89268480.

The previous prime is 434843623. The next prime is 434843653. The reversal of 434843640 is 46348434.

434843640 is a `hidden beast` number, since 4 + 3 + 4 + 8 + 4 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 434843595 and 434843604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5239039 + ... + 5239121.

It is an arithmetic number, because the mean of its divisors is an integer number (3267810).

Almost surely, 2^434843640 is an apocalyptic number.

434843640 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 434843640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941129280).

434843640 is an abundant number, since it is smaller than the sum of its proper divisors (1447414920).

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

434843640 is a wasteful number, since it uses less digits than its factorization.

434843640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 434843640 is about 20852.9048336197. The cubic root of 434843640 is about 757.6076898165.

The spelling of 434843640 in words is "four hundred thirty-four million, eight hundred forty-three thousand, six hundred forty".