1461404232 has 72 divisors (see below), whose sum is σ = 4089958470. Its totient is φ = 471398400.

The previous prime is 1461404213. The next prime is 1461404233. The reversal of 1461404232 is 2324041641.

It is a happy number.

1461404232 is a `hidden beast` number, since 1 + 4 + 614 + 0 + 42 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1108490436 + 352913796 = 33294^2 + 18786^2 .

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

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1461404196 and 1461404205.

It is not an unprimeable number, because it can be changed into a prime (1461404233) 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 17 ways as a sum of consecutive naturals, for example, 58632 + ... + 79752.

Almost surely, 2^1461404232 is an apocalyptic number.

1461404232 is a gapful number since it is divisible by the number (12) 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 1461404232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044979235).

1461404232 is an abundant number, since it is smaller than the sum of its proper divisors (2628554238).

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

1461404232 is a wasteful number, since it uses less digits than its factorization.

1461404232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21195 (or 21157 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1461404232 is about 38228.3171484176. The cubic root of 1461404232 is about 1134.8107823029.

Adding to 1461404232 its reverse (2324041641), we get a palindrome (3785445873).

The spelling of 1461404232 in words is "one billion, four hundred sixty-one million, four hundred four thousand, two hundred thirty-two".