1463365440 has 504 divisors, whose sum is σ = 5669124552. Its totient is φ = 358318080.

The previous prime is 1463365411. The next prime is 1463365459. The reversal of 1463365440 is 445633641.

1463365440 is a `hidden beast` number, since 14 + 633 + 6 + 5 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50808384 + 1412557056 = 7128^2 + 37584^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1463365395 and 1463365404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35691820 + ... + 35691860.

It is an arithmetic number, because the mean of its divisors is an integer number (11248263).

Almost surely, 2^1463365440 is an apocalyptic number.

1463365440 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 1463365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834562276).

1463365440 is an abundant number, since it is smaller than the sum of its proper divisors (4205759112).

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

1463365440 is an frugal number, since it uses more digits than its factorization.

1463365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 1463365440 is about 38253.9597950330. The cubic root of 1463365440 is about 1135.3181949888.

The spelling of 1463365440 in words is "one billion, four hundred sixty-three million, three hundred sixty-five thousand, four hundred forty".