1448400 has 120 divisors (see below), whose sum is σ = 4981824. Its totient is φ = 358400.

The previous prime is 1448387. The next prime is 1448401. The reversal of 1448400 is 48441.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1448401) 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, 20365 + ... + 20435.

2^1448400 is an apocalyptic number.

1448400 is a gapful number since it is divisible by the number (10) 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 1448400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490912).

1448400 is an abundant number, since it is smaller than the sum of its proper divisors (3533424).

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

1448400 is a wasteful number, since it uses less digits than its factorization.

1448400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1448400 is about 1203.4949106664. The cubic root of 1448400 is about 113.1434729659.

The spelling of 1448400 in words is "one million, four hundred forty-eight thousand, four hundred".