1463104896 has 96 divisors (see below), whose sum is σ = 4271933400. Its totient is φ = 443351040.

The previous prime is 1463104891. The next prime is 1463104901. The reversal of 1463104896 is 6984013641.

It is an interprime number because it is at equal distance from previous prime (1463104891) and next prime (1463104901).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463104891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30720 + ... + 62208.

Almost surely, 2^1463104896 is an apocalyptic number.

1463104896 is a gapful number since it is divisible by the number (16) 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 1463104896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135966700).

1463104896 is an abundant number, since it is smaller than the sum of its proper divisors (2808828504).

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

1463104896 is a wasteful number, since it uses less digits than its factorization.

1463104896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31528 (or 31505 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1463104896 is about 38250.5541920637. The cubic root of 1463104896 is about 1135.2508119796.

The spelling of 1463104896 in words is "one billion, four hundred sixty-three million, one hundred four thousand, eight hundred ninety-six".