432227840 has 80 divisors (see below), whose sum is σ = 1130619600. Its totient is φ = 157163520.

The previous prime is 432227833. The next prime is 432227857. The reversal of 432227840 is 48722234.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 432227797 and 432227806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20486 + ... + 35834.

It is an arithmetic number, because the mean of its divisors is an integer number (14132745).

Almost surely, 2^432227840 is an apocalyptic number.

432227840 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 432227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565309800).

432227840 is an abundant number, since it is smaller than the sum of its proper divisors (698391760).

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

432227840 is a wasteful number, since it uses less digits than its factorization.

432227840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15383 (or 15367 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 432227840 is about 20790.0899468954. The cubic root of 432227840 is about 756.0855049188.

The spelling of 432227840 in words is "four hundred thirty-two million, two hundred twenty-seven thousand, eight hundred forty".