434085820 has 48 divisors (see below), whose sum is σ = 1103094720. Its totient is φ = 140073984.

The previous prime is 434085811. The next prime is 434085859. The reversal of 434085820 is 28580434.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88815 + ... + 93574.

It is an arithmetic number, because the mean of its divisors is an integer number (22981140).

Almost surely, 2^434085820 is an apocalyptic number.

It is an amenable number.

434085820 is an abundant number, since it is smaller than the sum of its proper divisors (669008900).

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

434085820 is a wasteful number, since it uses less digits than its factorization.

434085820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182422 (or 182420 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 434085820 is about 20834.7263000981. The cubic root of 434085820 is about 757.1673291519.

The spelling of 434085820 in words is "four hundred thirty-four million, eighty-five thousand, eight hundred twenty".