434641416 has 128 divisors (see below), whose sum is σ = 1265932800. Its totient is φ = 122964480.

The previous prime is 434641399. The next prime is 434641423. The reversal of 434641416 is 614146434.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 365575 + ... + 366761.

It is an arithmetic number, because the mean of its divisors is an integer number (9890100).

Almost surely, 2^434641416 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 434641416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632966400).

434641416 is an abundant number, since it is smaller than the sum of its proper divisors (831291384).

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

434641416 is a wasteful number, since it uses less digits than its factorization.

434641416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1295 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 434641416 is about 20848.0554488902. The cubic root of 434641416 is about 757.4902298079.

The spelling of 434641416 in words is "four hundred thirty-four million, six hundred forty-one thousand, four hundred sixteen".