1456240 has 40 divisors (see below), whose sum is σ = 3437280. Its totient is φ = 573696.

The previous prime is 1456229. The next prime is 1456241. The reversal of 1456240 is 426541.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456241) 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, 8637 + ... + 8803.

It is an arithmetic number, because the mean of its divisors is an integer number (85932).

2^1456240 is an apocalyptic number.

1456240 is a gapful number since it is divisible by the number (10) 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 1456240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718640).

1456240 is an abundant number, since it is smaller than the sum of its proper divisors (1981040).

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

1456240 is a wasteful number, since it uses less digits than its factorization.

1456240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1456240 is about 1206.7476952537. The cubic root of 1456240 is about 113.3472493485.

The spelling of 1456240 in words is "one million, four hundred fifty-six thousand, two hundred forty".