1461152 has 48 divisors (see below), whose sum is σ = 3592512. Its totient is φ = 568320.

The previous prime is 1461151. The next prime is 1461169. The reversal of 1461152 is 2511641.

It is not an unprimeable number, because it can be changed into a prime (1461151) 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, 2168 + ... + 2760.

It is an arithmetic number, because the mean of its divisors is an integer number (74844).

2^1461152 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 1461152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796256).

1461152 is an abundant number, since it is smaller than the sum of its proper divisors (2131360).

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

1461152 is a wasteful number, since it uses less digits than its factorization.

1461152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 613 counting only the distinct ones).

The product of its digits is 240, while the sum is 20.

The square root of 1461152 is about 1208.7812043542. The cubic root of 1461152 is about 113.4745490748.

Adding to 1461152 its reverse (2511641), we get a palindrome (3972793).

It can be divided in two parts, 146115 and 2, that multiplied together give a triangular number (292230 = T₇₆₄).

The spelling of 1461152 in words is "one million, four hundred sixty-one thousand, one hundred fifty-two".