432020400 has 120 divisors (see below), whose sum is σ = 1581636864. Its totient is φ = 98745600.

The previous prime is 432020327. The next prime is 432020401. The reversal of 432020400 is 4020234.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 432020400.

It is not an unprimeable number, because it can be changed into a prime (432020401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17316 + ... + 34115.

Almost surely, 2^432020400 is an apocalyptic number.

432020400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432020400 is an abundant number, since it is smaller than the sum of its proper divisors (1149616464).

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

432020400 is a wasteful number, since it uses less digits than its factorization.

432020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51459 (or 51448 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 432020400 is about 20785.1004327619. The cubic root of 432020400 is about 755.9645290040.

Adding to 432020400 its reverse (4020234), we get a palindrome (436040634).

The spelling of 432020400 in words is "four hundred thirty-two million, twenty thousand, four hundred".