1456128 has 72 divisors (see below), whose sum is σ = 4258800. Its totient is φ = 479232.

The previous prime is 1456127. The next prime is 1456157. The reversal of 1456128 is 8216541.

1456128 is a `hidden beast` number, since 1 + 45 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18393 + ... + 18471.

It is an arithmetic number, because the mean of its divisors is an integer number (59150).

2^1456128 is an apocalyptic number.

1456128 is a gapful number since it is divisible by the number (18) 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 1456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129400).

1456128 is an abundant number, since it is smaller than the sum of its proper divisors (2802672).

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

1456128 is an equidigital number, since it uses as much as digits as its factorization.

1456128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 84 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 1456128 is about 1206.7012886377. The cubic root of 1456128 is about 113.3443434133.

The spelling of 1456128 in words is "one million, four hundred fifty-six thousand, one hundred twenty-eight".