8450985600 has 576 divisors, whose sum is σ = 32785323480. Its totient is φ = 2064384000.

The previous prime is 8450985593. The next prime is 8450985601. The reversal of 8450985600 is 65890548.

8450985600 is a `hidden beast` number, since 8 + 4 + 509 + 85 + 60 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 484352064 + 7966633536 = 22008^2 + 89256^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×8450985600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8450985601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20073390 + ... + 20073810.

Almost surely, 2^8450985600 is an apocalyptic number.

8450985600 is a gapful number since it is divisible by the number (80) 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 8450985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16392661740).

8450985600 is an abundant number, since it is smaller than the sum of its proper divisors (24334337880).

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

8450985600 is a wasteful number, since it uses less digits than its factorization.

8450985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 8450985600 is about 91929.2423551940. The cubic root of 8450985600 is about 2036.8972440128.

The spelling of 8450985600 in words is "eight billion, four hundred fifty million, nine hundred eighty-five thousand, six hundred".