1388448 has 48 divisors (see below), whose sum is σ = 4052160. Its totient is φ = 462528.

The previous prime is 1388419. The next prime is 1388449. The reversal of 1388448 is 8448831.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1388449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61 + ... + 1667.

It is an arithmetic number, because the mean of its divisors is an integer number (84420).

2^1388448 is an apocalyptic number.

1388448 is a gapful number since it is divisible by the number (18) 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 1388448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026080).

1388448 is an abundant number, since it is smaller than the sum of its proper divisors (2663712).

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

1388448 is a wasteful number, since it uses less digits than its factorization.

1388448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1612 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 1388448 is about 1178.3242338168. The cubic root of 1388448 is about 111.5603512756.

The spelling of 1388448 in words is "one million, three hundred eighty-eight thousand, four hundred forty-eight".