6448900 has 18 divisors (see below), whose sum is σ = 13994330. Its totient is φ = 2579520.

The previous prime is 6448889. The next prime is 6448903. The reversal of 6448900 is 98446.

It can be written as a sum of positive squares in 3 ways, for example, as 602176 + 5846724 = 776^2 + 2418^2 .

It is a super-2 number, since 2×6448900² = 83176622420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6448903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32145 + ... + 32344.

Almost surely, 2^6448900 is an apocalyptic number.

It is an amenable number.

6448900 is an abundant number, since it is smaller than the sum of its proper divisors (7545430).

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

6448900 is a wasteful number, since it uses less digits than its factorization.

6448900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64503 (or 64496 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 6448900 is about 2539.4684483175. The cubic root of 6448900 is about 186.1352159731.

The spelling of 6448900 in words is "six million, four hundred forty-eight thousand, nine hundred".