434707840 has 128 divisors (see below), whose sum is σ = 1250438400. Its totient is φ = 141170688.

The previous prime is 434707837. The next prime is 434707879. The reversal of 434707840 is 48707434.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 434707840.

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 15 ways as a sum of consecutive naturals, for example, 82567 + ... + 87673.

It is an arithmetic number, because the mean of its divisors is an integer number (9769050).

Almost surely, 2^434707840 is an apocalyptic number.

434707840 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 434707840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625219200).

434707840 is an abundant number, since it is smaller than the sum of its proper divisors (815730560).

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

434707840 is a wasteful number, since it uses less digits than its factorization.

434707840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5152 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The square root of 434707840 is about 20849.6484382831. The cubic root of 434707840 is about 757.5288156139.

The spelling of 434707840 in words is "four hundred thirty-four million, seven hundred seven thousand, eight hundred forty".