1463482944 has 448 divisors, whose sum is σ = 5688299520. Its totient is φ = 357212160.

The previous prime is 1463482931. The next prime is 1463482973. The reversal of 1463482944 is 4492843641.

1463482944 is a `hidden beast` number, since 1 + 4 + 634 + 8 + 2 + 9 + 4 + 4 = 666.

1463482944 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1463482944.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2261629 + ... + 2262275.

Almost surely, 2^1463482944 is an apocalyptic number.

1463482944 is a gapful number since it is divisible by the number (14) 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 1463482944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844149760).

1463482944 is an abundant number, since it is smaller than the sum of its proper divisors (4224816576).

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

1463482944 is a wasteful number, since it uses less digits than its factorization.

1463482944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 687 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 1463482944 is about 38255.4956052068. The cubic root of 1463482944 is about 1135.3485817614.

The spelling of 1463482944 in words is "one billion, four hundred sixty-three million, four hundred eighty-two thousand, nine hundred forty-four".