432226246452 has 768 divisors, whose sum is σ = 1442063056896. Its totient is φ = 97187328000.

The previous prime is 432226246451. The next prime is 432226246471. The reversal of 432226246452 is 254642622234.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432226246451) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1643445673 + ... + 1643445935.

It is an arithmetic number, because the mean of its divisors is an integer number (1877686272).

Almost surely, 2^432226246452 is an apocalyptic number.

432226246452 is a gapful number since it is divisible by the number (42) 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 432226246452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721031528448).

432226246452 is an abundant number, since it is smaller than the sum of its proper divisors (1009836810444).

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

432226246452 is a wasteful number, since it uses less digits than its factorization.

432226246452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 458 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 42.

Adding to 432226246452 its reverse (254642622234), we get a palindrome (686868868686).

The spelling of 432226246452 in words is "four hundred thirty-two billion, two hundred twenty-six million, two hundred forty-six thousand, four hundred fifty-two".