432332550400 has 81 divisors (see below), whose sum is σ = 1070220827221. Its totient is φ = 172911979520.

The previous prime is 432332550341. The next prime is 432332550427. The reversal of 432332550400 is 4055233234.

The square root of 432332550400 is 657520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 155639718144 + 276692832256 = 394512^2 + 526016^2 .

It is a super-2 number, since 2×432332550400² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52597491 + ... + 52605709.

Almost surely, 2^432332550400 is an apocalyptic number.

432332550400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

432332550400 is the 657520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432332550400

432332550400 is an abundant number, since it is smaller than the sum of its proper divisors (637888276821).

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

432332550400 is an frugal number, since it uses more digits than its factorization.

432332550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16464 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 31.

Adding to 432332550400 its reverse (4055233234), we get a palindrome (436387783634).

The spelling of 432332550400 in words is "four hundred thirty-two billion, three hundred thirty-two million, five hundred fifty thousand, four hundred".