448574112 has 336 divisors, whose sum is σ = 1573290432. Its totient is φ = 123171840.

The previous prime is 448574101. The next prime is 448574141. The reversal of 448574112 is 211475844.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6695103 + ... + 6695169.

It is an arithmetic number, because the mean of its divisors is an integer number (4682412).

Almost surely, 2^448574112 is an apocalyptic number.

448574112 is a gapful number since it is divisible by the number (42) 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 448574112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786645216).

448574112 is an abundant number, since it is smaller than the sum of its proper divisors (1124716320).

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

448574112 is an equidigital number, since it uses as much as digits as its factorization.

448574112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 448574112 is about 21179.5682675545. The cubic root of 448574112 is about 765.4991897610.

The spelling of 448574112 in words is "four hundred forty-eight million, five hundred seventy-four thousand, one hundred twelve".