434011620 has 96 divisors (see below), whose sum is σ = 1417248000. Its totient is φ = 99197952.

The previous prime is 434011619. The next prime is 434011621. The reversal of 434011620 is 26110434.

It is an interprime number because it is at equal distance from previous prime (434011619) and next prime (434011621).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (434011621) by changing a digit.

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, 10036 + ... + 31124.

It is an arithmetic number, because the mean of its divisors is an integer number (14763000).

Almost surely, 2^434011620 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 434011620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708624000).

434011620 is an abundant number, since it is smaller than the sum of its proper divisors (983236380).

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

434011620 is a wasteful number, since it uses less digits than its factorization.

434011620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21122 (or 21106 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 434011620 is about 20832.9455430575. The cubic root of 434011620 is about 757.1241848283.

The spelling of 434011620 in words is "four hundred thirty-four million, eleven thousand, six hundred twenty".