434314140 has 192 divisors, whose sum is σ = 1367452800. Its totient is φ = 102297600.

The previous prime is 434314109. The next prime is 434314151. The reversal of 434314140 is 41413434.

It is a self number, because there is not a number n which added to its sum of digits gives 434314140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2914786 + ... + 2914934.

It is an arithmetic number, because the mean of its divisors is an integer number (7122150).

Almost surely, 2^434314140 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 434314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683726400).

434314140 is an abundant number, since it is smaller than the sum of its proper divisors (933138660).

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

434314140 is a wasteful number, since it uses less digits than its factorization.

434314140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 434314140 is about 20840.2048934266. The cubic root of 434314140 is about 757.3000572406.

Adding to 434314140 its reverse (41413434), we get a palindrome (475727574).

The spelling of 434314140 in words is "four hundred thirty-four million, three hundred fourteen thousand, one hundred forty".