1461544448 has 240 divisors, whose sum is σ = 3834040320. Its totient is φ = 543449088.

The previous prime is 1461544433. The next prime is 1461544471. The reversal of 1461544448 is 8444451641.

It is a super-2 number, since 2×1461544448² = 4272224346959249408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11508161 + ... + 11508287.

It is an arithmetic number, because the mean of its divisors is an integer number (15975168).

Almost surely, 2^1461544448 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 1461544448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917020160).

1461544448 is an abundant number, since it is smaller than the sum of its proper divisors (2372495872).

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

1461544448 is a wasteful number, since it uses less digits than its factorization.

1461544448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 168 counting only the distinct ones).

The product of its digits is 245760, while the sum is 41.

The square root of 1461544448 is about 38230.1510329216. The cubic root of 1461544448 is about 1134.8470746890.

The spelling of 1461544448 in words is "one billion, four hundred sixty-one million, five hundred forty-four thousand, four hundred forty-eight".