448070400 has 216 divisors, whose sum is σ = 1643662160. Its totient is φ = 119439360.

The previous prime is 448070323. The next prime is 448070401. The reversal of 448070400 is 4070844.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448070401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171504 + ... + 174096.

Almost surely, 2^448070400 is an apocalyptic number.

448070400 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 448070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821831080).

448070400 is an abundant number, since it is smaller than the sum of its proper divisors (1195591760).

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

448070400 is a wasteful number, since it uses less digits than its factorization.

448070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 448070400 is about 21167.6734668692. The cubic root of 448070400 is about 765.2125514726.

The spelling of 448070400 in words is "four hundred forty-eight million, seventy thousand, four hundred".