432505955328 has 176 divisors, whose sum is σ = 1253591708544. Its totient is φ = 132020305920.

The previous prime is 432505955309. The next prime is 432505955351. The reversal of 432505955328 is 823559505234.

It is a super-2 number, since 2×432505955328² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1820373 + ... + 2044203.

Almost surely, 2^432505955328 is an apocalyptic number.

432505955328 is a gapful number since it is divisible by the number (48) 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 432505955328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626795854272).

432505955328 is an abundant number, since it is smaller than the sum of its proper divisors (821085753216).

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

432505955328 is a wasteful number, since it uses less digits than its factorization.

432505955328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223908 (or 223890 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 51.

The spelling of 432505955328 in words is "four hundred thirty-two billion, five hundred five million, nine hundred fifty-five thousand, three hundred twenty-eight".