448885800 has 360 divisors, whose sum is σ = 1721146350. Its totient is φ = 108345600.

The previous prime is 448885783. The next prime is 448885837. The reversal of 448885800 is 8588844.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 415915236 + 32970564 = 20394^2 + 5742^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×448885800² = 402996922883280000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1960086 + ... + 1960314.

Almost surely, 2^448885800 is an apocalyptic number.

448885800 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 448885800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860573175).

448885800 is an abundant number, since it is smaller than the sum of its proper divisors (1272260550).

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

448885800 is a wasteful number, since it uses less digits than its factorization.

448885800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 448885800 is about 21186.9252134424. The cubic root of 448885800 is about 765.6764489652.

The spelling of 448885800 in words is "four hundred forty-eight million, eight hundred eighty-five thousand, eight hundred".