448677124 has 81 divisors (see below), whose sum is σ = 981291423. Its totient is φ = 178945536.

The previous prime is 448677101. The next prime is 448677137. The reversal of 448677124 is 421776844.

The square root of 448677124 is 21182.

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

It can be written as a sum of positive squares in 4 ways, for example, as 592900 + 448084224 = 770^2 + 21168^2 .

It is a super-2 number, since 2×448677124² = 402622323201822752, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5041272 + ... + 5041360.

Almost surely, 2^448677124 is an apocalyptic number.

448677124 is the 21182-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448677124

448677124 is an abundant number, since it is smaller than the sum of its proper divisors (532614299).

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

448677124 is a wasteful number, since it uses less digits than its factorization.

448677124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 115 counting only the distinct ones).

The product of its digits is 301056, while the sum is 43.

The cubic root of 448677124 is about 765.5577825070.

The spelling of 448677124 in words is "four hundred forty-eight million, six hundred seventy-seven thousand, one hundred twenty-four".