448069584400 has 45 divisors (see below), whose sum is σ = 1076519341191. Its totient is φ = 179222478720.

The previous prime is 448069584359. The next prime is 448069584401. The reversal of 448069584400 is 4485960844.

The square root of 448069584400 is 669380.

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 45118857744 + 402950726656 = 212412^2 + 634784^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (448069584401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13370866 + ... + 13404334.

Almost surely, 2^448069584400 is an apocalyptic number.

448069584400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

448069584400 is the 669380-th square number.

It is an amenable number.

448069584400 is an abundant number, since it is smaller than the sum of its proper divisors (628449756791).

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

448069584400 is an frugal number, since it uses more digits than its factorization.

448069584400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66956 (or 33476 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 52.

The spelling of 448069584400 in words is "four hundred forty-eight billion, sixty-nine million, five hundred eighty-four thousand, four hundred".