1463992320 has 480 divisors, whose sum is σ = 5737632768. Its totient is φ = 311427072.

The previous prime is 1463992291. The next prime is 1463992333. The reversal of 1463992320 is 232993641.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39567342 + ... + 39567378.

Almost surely, 2^1463992320 is an apocalyptic number.

1463992320 is a gapful number since it is divisible by the number (10) 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 1463992320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868816384).

1463992320 is an abundant number, since it is smaller than the sum of its proper divisors (4273640448).

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

1463992320 is an equidigital number, since it uses as much as digits as its factorization.

1463992320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 1463992320 is about 38262.1525792787. The cubic root of 1463992320 is about 1135.4802886228.

The spelling of 1463992320 in words is "one billion, four hundred sixty-three million, nine hundred ninety-two thousand, three hundred twenty".