1457248 has 48 divisors (see below), whose sum is σ = 3217536. Its totient is φ = 645120.

The previous prime is 1457219. The next prime is 1457251. The reversal of 1457248 is 8427541.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

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, 12840 + ... + 12952.

It is an arithmetic number, because the mean of its divisors is an integer number (67032).

2^1457248 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 1457248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608768).

1457248 is an abundant number, since it is smaller than the sum of its proper divisors (1760288).

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

1457248 is a wasteful number, since it uses less digits than its factorization.

1457248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its digits is 8960, while the sum is 31.

The square root of 1457248 is about 1207.1652745171. The cubic root of 1457248 is about 113.3733960632.

The spelling of 1457248 in words is "one million, four hundred fifty-seven thousand, two hundred forty-eight".