449449568100 has 567 divisors, whose sum is σ = 1591759402779. Its totient is φ = 110054505600.

The previous prime is 449449568063. The next prime is 449449568107. The reversal of 449449568100 is 1865944944.

The square root of 449449568100 is 670410.

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

449449568100 is a `hidden beast` number, since 4 + 4 + 94 + 495 + 68 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 115846291044 + 333603277056 = 340362^2 + 577584^2 .

It is a super-2 number, since 2×449449568100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (449449568107) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 2353139005 + ... + 2353139195.

Almost surely, 2^449449568100 is an apocalyptic number.

449449568100 is the 670410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449449568100

449449568100 is an abundant number, since it is smaller than the sum of its proper divisors (1142309834679).

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

449449568100 is a wasteful number, since it uses less digits than its factorization.

449449568100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 449449568100 in words is "four hundred forty-nine billion, four hundred forty-nine million, five hundred sixty-eight thousand, one hundred".