1463423040 has 168 divisors, whose sum is σ = 5071673880. Its totient is φ = 387293184.

The previous prime is 1463423023. The next prime is 1463423041. The reversal of 1463423040 is 403243641.

1463423040 is a `hidden beast` number, since 1 + 4 + 634 + 23 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84934656 + 1378488384 = 9216^2 + 37128^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1463422995 and 1463423013.

It is not an unprimeable number, because it can be changed into a prime (1463423041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392706 + ... + 396414.

It is an arithmetic number, because the mean of its divisors is an integer number (30188535).

Almost surely, 2^1463423040 is an apocalyptic number.

1463423040 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 1463423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535836940).

1463423040 is an abundant number, since it is smaller than the sum of its proper divisors (3608250840).

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

1463423040 is a wasteful number, since it uses less digits than its factorization.

1463423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3869 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1463423040 is about 38254.7126508617. The cubic root of 1463423040 is about 1135.3330906688. Note that the first 3 decimals are identical.

Adding to 1463423040 its reverse (403243641), we get a palindrome (1866666681).

The spelling of 1463423040 in words is "one billion, four hundred sixty-three million, four hundred twenty-three thousand, forty".