1461193344 has 320 divisors, whose sum is σ = 4825968840. Its totient is φ = 435953664.

The previous prime is 1461193343. The next prime is 1461193369. The reversal of 1461193344 is 4433911641.

1461193344 is a `hidden beast` number, since 1 + 4 + 611 + 9 + 3 + 34 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1450695744 + 10497600 = 38088^2 + 3240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 1461193299 and 1461193308.

It is not an unprimeable number, because it can be changed into a prime (1461193343) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4986862 + ... + 4987154.

Almost surely, 2^1461193344 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 1461193344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412984420).

1461193344 is an abundant number, since it is smaller than the sum of its proper divisors (3364775496).

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

1461193344 is a wasteful number, since it uses less digits than its factorization.

1461193344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 348 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 1461193344 is about 38225.5587794345. The cubic root of 1461193344 is about 1134.7561933709.

The spelling of 1461193344 in words is "one billion, four hundred sixty-one million, one hundred ninety-three thousand, three hundred forty-four".