432015360 has 384 divisors, whose sum is σ = 1651104000. Its totient is φ = 96337920.

The previous prime is 432015343. The next prime is 432015377. The reversal of 432015360 is 63510234.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (432015343) and next prime (432015377).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 432015360.

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, 10536940 + ... + 10536980.

It is an arithmetic number, because the mean of its divisors is an integer number (4299750).

Almost surely, 2^432015360 is an apocalyptic number.

432015360 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 432015360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825552000).

432015360 is an abundant number, since it is smaller than the sum of its proper divisors (1219088640).

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

432015360 is an equidigital number, since it uses as much as digits as its factorization.

432015360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 432015360 is about 20784.9791917144. The cubic root of 432015360 is about 755.9615892693.

Adding to 432015360 its reverse (63510234), we get a palindrome (495525594).

The spelling of 432015360 in words is "four hundred thirty-two million, fifteen thousand, three hundred sixty".