434242944 has 192 divisors, whose sum is σ = 1354429440. Its totient is φ = 138226176.

The previous prime is 434242943. The next prime is 434242961. The reversal of 434242944 is 449242434.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 434242899 and 434242908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434242943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 715089 + ... + 715695.

It is an arithmetic number, because the mean of its divisors is an integer number (7054320).

Almost surely, 2^434242944 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 434242944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677214720).

434242944 is an abundant number, since it is smaller than the sum of its proper divisors (920186496).

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

434242944 is an equidigital number, since it uses as much as digits as its factorization.

434242944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 635 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 434242944 is about 20838.4966828224. The cubic root of 434242944 is about 757.2586742290.

The spelling of 434242944 in words is "four hundred thirty-four million, two hundred forty-two thousand, nine hundred forty-four".