434784042 has 144 divisors (see below), whose sum is σ = 1229836608. Its totient is φ = 107838720.

The previous prime is 434784023. The next prime is 434784047. The reversal of 434784042 is 240487434.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 434783988 and 434784006.

It is not an unprimeable number, because it can be changed into a prime (434784047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 732898 + ... + 733490.

It is an arithmetic number, because the mean of its divisors is an integer number (8540532).

Almost surely, 2^434784042 is an apocalyptic number.

434784042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 434784042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614918304).

434784042 is an abundant number, since it is smaller than the sum of its proper divisors (795052566).

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

434784042 is a wasteful number, since it uses less digits than its factorization.

434784042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 434784042 is about 20851.4757751100. The cubic root of 434784042 is about 757.5730766346.

The spelling of 434784042 in words is "four hundred thirty-four million, seven hundred eighty-four thousand, forty-two".