434325252000 has 384 divisors, whose sum is σ = 1487440281600. Its totient is φ = 110657664000.

The previous prime is 434325251977. The next prime is 434325252017. The reversal of 434325252000 is 252523434.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 29380611 + ... + 29395389.

It is an arithmetic number, because the mean of its divisors is an integer number (3873542400).

Almost surely, 2^434325252000 is an apocalyptic number.

434325252000 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 434325252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743720140800).

434325252000 is an abundant number, since it is smaller than the sum of its proper divisors (1053115029600).

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

434325252000 is a wasteful number, since it uses less digits than its factorization.

434325252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14917 (or 14899 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 434325252000 its reverse (252523434), we get a palindrome (434577775434).

The spelling of 434325252000 in words is "four hundred thirty-four billion, three hundred twenty-five million, two hundred fifty-two thousand".