434353320 has 256 divisors, whose sum is σ = 1520640000. Its totient is φ = 110170368.

The previous prime is 434353301. The next prime is 434353331. The reversal of 434353320 is 23353434.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2182581 + ... + 2182779.

It is an arithmetic number, because the mean of its divisors is an integer number (5940000).

Almost surely, 2^434353320 is an apocalyptic number.

434353320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434353320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760320000).

434353320 is an abundant number, since it is smaller than the sum of its proper divisors (1086286680).

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

434353320 is a wasteful number, since it uses less digits than its factorization.

434353320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

The square root of 434353320 is about 20841.1448821796. The cubic root of 434353320 is about 757.3228288716.

The spelling of 434353320 in words is "four hundred thirty-four million, three hundred fifty-three thousand, three hundred twenty".