432006240 has 192 divisors, whose sum is σ = 1437004800. Its totient is φ = 108877824.

The previous prime is 432006181. The next prime is 432006241. The reversal of 432006240 is 42600234.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432006241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1203181 + ... + 1203539.

It is an arithmetic number, because the mean of its divisors is an integer number (7484400).

Almost surely, 2^432006240 is an apocalyptic number.

432006240 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 432006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718502400).

432006240 is an abundant number, since it is smaller than the sum of its proper divisors (1004998560).

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

432006240 is a wasteful number, since it uses less digits than its factorization.

432006240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 432006240 is about 20784.7598013545. The cubic root of 432006240 is about 755.9562696913.

Adding to 432006240 its reverse (42600234), we get a palindrome (474606474).

The spelling of 432006240 in words is "four hundred thirty-two million, six thousand, two hundred forty".