562432000 has 192 divisors, whose sum is σ = 1520391600. Its totient is φ = 207667200.

The previous prime is 562431971. The next prime is 562432007. The reversal of 562432000 is 234265.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 288728064 + 273703936 = 16992^2 + 16544^2 .

It is not an unprimeable number, because it can be changed into a prime (562432007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43263994 + ... + 43264006.

Almost surely, 2^562432000 is an apocalyptic number.

562432000 is a gapful number since it is divisible by the number (50) 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 562432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760195800).

562432000 is an abundant number, since it is smaller than the sum of its proper divisors (957959600).

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

562432000 is an frugal number, since it uses more digits than its factorization.

562432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 562432000 is about 23715.6488420621. The cubic root of 562432000 is about 825.4485470235.

Adding to 562432000 its reverse (234265), we get a palindrome (562666265).

The spelling of 562432000 in words is "five hundred sixty-two million, four hundred thirty-two thousand".