1461237232 has 120 divisors (see below), whose sum is σ = 3565834272. Its totient is φ = 574963200.

The previous prime is 1461237221. The next prime is 1461237233. The reversal of 1461237232 is 2327321641.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1461237194 and 1461237203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461237233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3169482 + ... + 3169942.

Almost surely, 2^1461237232 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 1461237232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782917136).

1461237232 is an abundant number, since it is smaller than the sum of its proper divisors (2104597040).

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

1461237232 is a wasteful number, since it uses less digits than its factorization.

1461237232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 794 counting only the distinct ones).

The product of its digits is 12096, while the sum is 31.

The square root of 1461237232 is about 38226.1328412907. The cubic root of 1461237232 is about 1134.7675543317.

Adding to 1461237232 its reverse (2327321641), we get a palindrome (3788558873).

The spelling of 1461237232 in words is "one billion, four hundred sixty-one million, two hundred thirty-seven thousand, two hundred thirty-two".