1457352 has 80 divisors (see below), whose sum is σ = 4421340. Its totient is φ = 445824.

The previous prime is 1457333. The next prime is 1457353. The reversal of 1457352 is 2537541.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1454436 + 2916 = 1206^2 + 54^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1457353) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8338 + ... + 8510.

2^1457352 is an apocalyptic number.

1457352 is a gapful number since it is divisible by the number (12) 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 1457352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210670).

1457352 is an abundant number, since it is smaller than the sum of its proper divisors (2963988).

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

1457352 is a wasteful number, since it uses less digits than its factorization.

1457352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 191 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 1457352 is about 1207.2083498717. The cubic root of 1457352 is about 113.3760930539.

The spelling of 1457352 in words is "one million, four hundred fifty-seven thousand, three hundred fifty-two".