448979200 has 162 divisors, whose sum is σ = 1164028362. Its totient is φ = 171417600.

The previous prime is 448979191. The next prime is 448979269. The reversal of 448979200 is 2979844.

It can be written as a sum of positive squares in 3 ways, for example, as 35426304 + 413552896 = 5952^2 + 20336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6150364 + ... + 6150436.

Almost surely, 2^448979200 is an apocalyptic number.

448979200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582014181).

448979200 is an abundant number, since it is smaller than the sum of its proper divisors (715049162).

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

448979200 is an equidigital number, since it uses as much as digits as its factorization.

448979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 448979200 is about 21189.1292883875. The cubic root of 448979200 is about 765.7295502372.

The spelling of 448979200 in words is "four hundred forty-eight million, nine hundred seventy-nine thousand, two hundred".