1457648 has 40 divisors (see below), whose sum is σ = 3133728. Its totient is φ = 653312.

The previous prime is 1457647. The next prime is 1457653. The reversal of 1457648 is 8467541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457647) 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, 6140 + ... + 6372.

2^1457648 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 1457648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566864).

1457648 is an abundant number, since it is smaller than the sum of its proper divisors (1676080).

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

1457648 is a wasteful number, since it uses less digits than its factorization.

1457648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 1457648 is about 1207.3309405461. The cubic root of 1457648 is about 113.3837684020.

The spelling of 1457648 in words is "one million, four hundred fifty-seven thousand, six hundred forty-eight".