434942680 has 64 divisors (see below), whose sum is σ = 1036742400. Its totient is φ = 163762560.

The previous prime is 434942657. The next prime is 434942689. The reversal of 434942680 is 86249434.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434942689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122125 + ... + 125635.

It is an arithmetic number, because the mean of its divisors is an integer number (16199100).

Almost surely, 2^434942680 is an apocalyptic number.

434942680 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 434942680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518371200).

434942680 is an abundant number, since it is smaller than the sum of its proper divisors (601799720).

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

434942680 is a wasteful number, since it uses less digits than its factorization.

434942680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3704 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The square root of 434942680 is about 20855.2794275215. The cubic root of 434942680 is about 757.6652030334.

The spelling of 434942680 in words is "four hundred thirty-four million, nine hundred forty-two thousand, six hundred eighty".