448589400 has 288 divisors, whose sum is σ = 1658941440. Its totient is φ = 98219520.

The previous prime is 448589363. The next prime is 448589417. The reversal of 448589400 is 4985844.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3532137 + ... + 3532263.

Almost surely, 2^448589400 is an apocalyptic number.

448589400 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 448589400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829470720).

448589400 is an abundant number, since it is smaller than the sum of its proper divisors (1210352040).

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

448589400 is a wasteful number, since it uses less digits than its factorization.

448589400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 448589400 is about 21179.9291783518. The cubic root of 448589400 is about 765.5078860710.

The spelling of 448589400 in words is "four hundred forty-eight million, five hundred eighty-nine thousand, four hundred".