432201440 has 96 divisors (see below), whose sum is σ = 1144178784. Its totient is φ = 152893440.

The previous prime is 432201439. The next prime is 432201443. The reversal of 432201440 is 44102234.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432201443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61802 + ... + 68438.

It is an arithmetic number, because the mean of its divisors is an integer number (11918529).

Almost surely, 2^432201440 is an apocalyptic number.

432201440 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 432201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572089392).

432201440 is an abundant number, since it is smaller than the sum of its proper divisors (711977344).

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

432201440 is a wasteful number, since it uses less digits than its factorization.

432201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6700 (or 6692 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 432201440 is about 20789.4550193121. The cubic root of 432201440 is about 756.0701109823.

Adding to 432201440 its reverse (44102234), we get a palindrome (476303674).

It can be divided in two parts, 43 and 2201440, that multiplied together give a triangular number (94661920 = T₁₃₇₅₉).

The spelling of 432201440 in words is "four hundred thirty-two million, two hundred one thousand, four hundred forty".