432422520 has 128 divisors (see below), whose sum is σ = 1381536000. Its totient is φ = 107965440.

The previous prime is 432422479. The next prime is 432422569. The reversal of 432422520 is 25224234.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201855 + ... + 203985.

It is an arithmetic number, because the mean of its divisors is an integer number (10793250).

Almost surely, 2^432422520 is an apocalyptic number.

432422520 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 432422520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690768000).

432422520 is an abundant number, since it is smaller than the sum of its proper divisors (949113480).

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

432422520 is a wasteful number, since it uses less digits than its factorization.

432422520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 432422520 is about 20794.7714582296. The cubic root of 432422520 is about 756.1990041883.

Adding to 432422520 its reverse (25224234), we get a palindrome (457646754).

The spelling of 432422520 in words is "four hundred thirty-two million, four hundred twenty-two thousand, five hundred twenty".