434303002320 has 160 divisors (see below), whose sum is σ = 1473520688640. Its totient is φ = 104942430720.

The previous prime is 434303002249. The next prime is 434303002333. The reversal of 434303002320 is 23200303434.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542551 + ... + 1078409.

It is an arithmetic number, because the mean of its divisors is an integer number (9209504304).

Almost surely, 2^434303002320 is an apocalyptic number.

434303002320 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 434303002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736760344320).

434303002320 is an abundant number, since it is smaller than the sum of its proper divisors (1039217686320).

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

434303002320 is a wasteful number, since it uses less digits than its factorization.

434303002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536193 (or 536187 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 434303002320 its reverse (23200303434), we get a palindrome (457503305754).

The spelling of 434303002320 in words is "four hundred thirty-four billion, three hundred three million, two thousand, three hundred twenty".