4495322400 has 576 divisors, whose sum is σ = 16414949376. Its totient is φ = 1064448000.

The previous prime is 4495322387. The next prime is 4495322467. The reversal of 4495322400 is 42235944.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63314365 + ... + 63314435.

It is an arithmetic number, because the mean of its divisors is an integer number (28498176).

Almost surely, 2^4495322400 is an apocalyptic number.

4495322400 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 4495322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8207474688).

4495322400 is an abundant number, since it is smaller than the sum of its proper divisors (11919626976).

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

4495322400 is a wasteful number, since it uses less digits than its factorization.

4495322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 4495322400 is about 67047.1654881845. The cubic root of 4495322400 is about 1650.3913855752.

The spelling of 4495322400 in words is "four billion, four hundred ninety-five million, three hundred twenty-two thousand, four hundred".