1463960304 has 320 divisors, whose sum is σ = 4743982080. Its totient is φ = 435207168.

The previous prime is 1463960299. The next prime is 1463960341. The reversal of 1463960304 is 4030693641.

1463960304 is a `hidden beast` number, since 1 + 46 + 3 + 9 + 603 + 0 + 4 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 13681819 + ... + 13681925.

It is an arithmetic number, because the mean of its divisors is an integer number (14824944).

Almost surely, 2^1463960304 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 1463960304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371991040).

1463960304 is an abundant number, since it is smaller than the sum of its proper divisors (3280021776).

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

1463960304 is a wasteful number, since it uses less digits than its factorization.

1463960304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 1463960304 is about 38261.7342001117. The cubic root of 1463960304 is about 1135.4720113021.

The spelling of 1463960304 in words is "one billion, four hundred sixty-three million, nine hundred sixty thousand, three hundred four".