448016400 has 240 divisors, whose sum is σ = 1717806720. Its totient is φ = 110246400.

The previous prime is 448016363. The next prime is 448016423. The reversal of 448016400 is 4610844.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138805 + ... + 141995.

It is an arithmetic number, because the mean of its divisors is an integer number (7157528).

Almost surely, 2^448016400 is an apocalyptic number.

448016400 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 448016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858903360).

448016400 is an abundant number, since it is smaller than the sum of its proper divisors (1269790320).

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

448016400 is a wasteful number, since it uses less digits than its factorization.

448016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 448016400 is about 21166.3978985561. The cubic root of 448016400 is about 765.1818099210.

The spelling of 448016400 in words is "four hundred forty-eight million, sixteen thousand, four hundred".