432922752 has 192 divisors, whose sum is σ = 1352397600. Its totient is φ = 136318464.

The previous prime is 432922747. The next prime is 432922757. The reversal of 432922752 is 257229234.

It is an interprime number because it is at equal distance from previous prime (432922747) and next prime (432922757).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (432922757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1247443 + ... + 1247789.

Almost surely, 2^432922752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432922752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676198800).

432922752 is an abundant number, since it is smaller than the sum of its proper divisors (919474848).

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

432922752 is a wasteful number, since it uses less digits than its factorization.

432922752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 371 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 432922752 is about 20806.7958129069. The cubic root of 432922752 is about 756.4904854379.

The spelling of 432922752 in words is "four hundred thirty-two million, nine hundred twenty-two thousand, seven hundred fifty-two".