432441072 has 240 divisors, whose sum is σ = 1492761600. Its totient is φ = 119387520.

The previous prime is 432441047. The next prime is 432441131. The reversal of 432441072 is 270144234.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 655879 + ... + 656537.

It is an arithmetic number, because the mean of its divisors is an integer number (6219840).

Almost surely, 2^432441072 is an apocalyptic number.

432441072 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 432441072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746380800).

432441072 is an abundant number, since it is smaller than the sum of its proper divisors (1060320528).

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

432441072 is a wasteful number, since it uses less digits than its factorization.

432441072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 432441072 is about 20795.2175271143. The cubic root of 432441072 is about 756.2098183054.

The spelling of 432441072 in words is "four hundred thirty-two million, four hundred forty-one thousand, seventy-two".