434042820 has 96 divisors (see below), whose sum is σ = 1361203200. Its totient is φ = 114815232.

The previous prime is 434042813. The next prime is 434042849. The reversal of 434042820 is 28240434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65416 + ... + 71744.

It is an arithmetic number, because the mean of its divisors is an integer number (14179200).

Almost surely, 2^434042820 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 434042820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680601600).

434042820 is an abundant number, since it is smaller than the sum of its proper divisors (927160380).

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

434042820 is a wasteful number, since it uses less digits than its factorization.

434042820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6474 (or 6466 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 434042820 is about 20833.6943435388. The cubic root of 434042820 is about 757.1423269758.

The spelling of 434042820 in words is "four hundred thirty-four million, forty-two thousand, eight hundred twenty".