1461441324 has 48 divisors (see below), whose sum is σ = 3927891968. Its totient is φ = 414263808.

The previous prime is 1461441323. The next prime is 1461441337. The reversal of 1461441324 is 4231441641.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1461441291 and 1461441300.

It is not an unprimeable number, because it can be changed into a prime (1461441323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57829 + ... + 79164.

Almost surely, 2^1461441324 is an apocalyptic number.

1461441324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1461441324 is an abundant number, since it is smaller than the sum of its proper divisors (2466450644).

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

1461441324 is a wasteful number, since it uses less digits than its factorization.

1461441324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137134 (or 137132 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 1461441324 is about 38228.8022830954. The cubic root of 1461441324 is about 1134.8203831248.

Adding to 1461441324 its reverse (4231441641), we get a palindrome (5692882965).

The spelling of 1461441324 in words is "one billion, four hundred sixty-one million, four hundred forty-one thousand, three hundred twenty-four".