1463763840 has 256 divisors, whose sum is σ = 5817623040. Its totient is φ = 304128000.

The previous prime is 1463763839. The next prime is 1463763841. The reversal of 1463763840 is 483673641.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1463763839) and next prime (1463763841).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1463763792 and 1463763801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463763841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142890 + ... + 152790.

It is an arithmetic number, because the mean of its divisors is an integer number (22725090).

Almost surely, 2^1463763840 is an apocalyptic number.

1463763840 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 1463763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908811520).

1463763840 is an abundant number, since it is smaller than the sum of its proper divisors (4353859200).

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

1463763840 is a wasteful number, since it uses less digits than its factorization.

1463763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9941 (or 9929 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 1463763840 is about 38259.1667447162. The cubic root of 1463763840 is about 1135.4212154455.

The spelling of 1463763840 in words is "one billion, four hundred sixty-three million, seven hundred sixty-three thousand, eight hundred forty".