434256680 has 192 divisors, whose sum is σ = 1201132800. Its totient is φ = 139276800.

The previous prime is 434256673. The next prime is 434256689. The reversal of 434256680 is 86652434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434256689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5496881 + ... + 5496959.

It is an arithmetic number, because the mean of its divisors is an integer number (6255900).

Almost surely, 2^434256680 is an apocalyptic number.

434256680 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 434256680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600566400).

434256680 is an abundant number, since it is smaller than the sum of its proper divisors (766876120).

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

434256680 is a wasteful number, since it uses less digits than its factorization.

434256680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 434256680 is about 20838.8262625322. The cubic root of 434256680 is about 757.2666586961.

It can be divided in two parts, 43425 and 6680, that added together give a palindrome (50105).

The spelling of 434256680 in words is "four hundred thirty-four million, two hundred fifty-six thousand, six hundred eighty".