4522406400 has 360 divisors, whose sum is σ = 16637527764. Its totient is φ = 1172275200.

The previous prime is 4522406389. The next prime is 4522406407. The reversal of 4522406400 is 46042254.

It can be written as a sum of positive squares in 6 ways, for example, as 2999533824 + 1522872576 = 54768^2 + 39024^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (4522406407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4261870 + ... + 4262930.

Almost surely, 2^4522406400 is an apocalyptic number.

4522406400 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 4522406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8318763882).

4522406400 is an abundant number, since it is smaller than the sum of its proper divisors (12115121364).

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

4522406400 is a wasteful number, since it uses less digits than its factorization.

4522406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4522406400 is about 67248.8393951896. The cubic root of 4522406400 is about 1653.6992484121.

Adding to 4522406400 its reverse (46042254), we get a palindrome (4568448654).

The spelling of 4522406400 in words is "four billion, five hundred twenty-two million, four hundred six thousand, four hundred".