432021040 has 80 divisors (see below), whose sum is σ = 1101715200. Its totient is φ = 156245760.

The previous prime is 432021019. The next prime is 432021047. The reversal of 432021040 is 40120234.

432021040 = T₃₈₉ + T₃₉₀ + ... + T₁₃₈₃.

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 (16).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (432021047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173887 + ... + 176353.

It is an arithmetic number, because the mean of its divisors is an integer number (13771440).

Almost surely, 2^432021040 is an apocalyptic number.

432021040 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 432021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550857600).

432021040 is an abundant number, since it is smaller than the sum of its proper divisors (669694160).

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

432021040 is a wasteful number, since it uses less digits than its factorization.

432021040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 432021040 is about 20785.1158283999. The cubic root of 432021040 is about 755.9649023020.

Adding to 432021040 its reverse (40120234), we get a palindrome (472141274).

The spelling of 432021040 in words is "four hundred thirty-two million, twenty-one thousand, forty".