449067169352025 has 81 divisors (see below), whose sum is σ = 935652885230973. Its totient is φ = 205286831668800.

The previous prime is 449067169351907. The next prime is 449067169352051. The reversal of 449067169352025 is 520253961760944.

It is a happy number.

The square root of 449067169352025 is 21191205.

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

449067169352025 is a `hidden beast` number, since 4 + 4 + 9 + 0 + 6 + 7 + 16 + 93 + 520 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52658432231769 + 396408737120256 = 7256613^2 + 19910016^2 .

It is not a de Polignac number, because 449067169352025 - 2⁹ = 449067169351513 is a prime.

It is a super-2 number, since 2×449067169352025² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2224975615 + ... + 2225177435.

Almost surely, 2^{449067169352025} is an apocalyptic number.

449067169352025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

449067169352025 is the 21191205-th square number.

449067169352025 is the 10595603-rd centered octagonal number.

It is an amenable number.

449067169352025 is an abundant number, since it is smaller than the sum of its proper divisors (486585715878948).

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

449067169352025 is an frugal number, since it uses more digits than its factorization.

449067169352025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403672 (or 201836 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 449067169352025 in words is "four hundred forty-nine trillion, sixty-seven billion, one hundred sixty-nine million, three hundred fifty-two thousand, twenty-five".