1463135520 has 384 divisors, whose sum is σ = 5936136192. Its totient is φ = 293990400.

The previous prime is 1463135503. The next prime is 1463135533. The reversal of 1463135520 is 255313641.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1145122 + ... + 1146398.

It is an arithmetic number, because the mean of its divisors is an integer number (15458688).

Almost surely, 2^1463135520 is an apocalyptic number.

1463135520 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 1463135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968068096).

1463135520 is an abundant number, since it is smaller than the sum of its proper divisors (4473000672).

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

1463135520 is a wasteful number, since it uses less digits than its factorization.

1463135520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 1463135520 is about 38250.9544978946. The cubic root of 1463135520 is about 1135.2587325049.

The spelling of 1463135520 in words is "one billion, four hundred sixty-three million, one hundred thirty-five thousand, five hundred twenty".