434140686 has 72 divisors (see below), whose sum is σ = 1141839504. Its totient is φ = 118641600.

The previous prime is 434140661. The next prime is 434140687. The reversal of 434140686 is 686041434.

434140686 is a `hidden beast` number, since 434 + 140 + 6 + 86 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 434140686.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434140687) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9586 + ... + 30986.

It is an arithmetic number, because the mean of its divisors is an integer number (15858882).

Almost surely, 2^434140686 is an apocalyptic number.

434140686 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 434140686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570919752).

434140686 is an abundant number, since it is smaller than the sum of its proper divisors (707698818).

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

434140686 is a wasteful number, since it uses less digits than its factorization.

434140686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21446 (or 21436 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 434140686 is about 20836.0429544575. The cubic root of 434140686 is about 757.1992283683.

The spelling of 434140686 in words is "four hundred thirty-four million, one hundred forty thousand, six hundred eighty-six".