1458160 has 40 divisors (see below), whose sum is σ = 3700656. Its totient is φ = 529920.

The previous prime is 1458157. The next prime is 1458167. The reversal of 1458160 is 618541.

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 (1458167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52 + ... + 1708.

2^1458160 is an apocalyptic number.

1458160 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 1458160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850328).

1458160 is an abundant number, since it is smaller than the sum of its proper divisors (2242496).

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

1458160 is a wasteful number, since it uses less digits than its factorization.

1458160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 1458160 is about 1207.5429598983. The cubic root of 1458160 is about 113.3970422270.

It can be divided in two parts, 14581 and 60, that added together give a palindrome (14641).

The spelling of 1458160 in words is "one million, four hundred fifty-eight thousand, one hundred sixty".