1020448 has 48 divisors (see below), whose sum is σ = 2370816. Its totient is φ = 426240.

The previous prime is 1020431. The next prime is 1020451. The reversal of 1020448 is 8440201.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4465 + ... + 4687.

It is an arithmetic number, because the mean of its divisors is an integer number (49392).

2^1020448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185408).

1020448 is an abundant number, since it is smaller than the sum of its proper divisors (1350368).

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

1020448 is a wasteful number, since it uses less digits than its factorization.

1020448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1020448 is about 1010.1722625374. The cubic root of 1020448 is about 100.6770062817.

Adding to 1020448 its reverse (8440201), we get a palindrome (9460649).

It can be divided in two parts, 10 and 20448, that multiplied together give a triangular number (204480 = T₆₃₉).

The spelling of 1020448 in words is "one million, twenty thousand, four hundred forty-eight".