1463746944 has 256 divisors, whose sum is σ = 4434600960. Its totient is φ = 423936000.

The previous prime is 1463746931. The next prime is 1463746967. The reversal of 1463746944 is 4496473641.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1463746893 and 1463746902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14492494 + ... + 14492594.

It is an arithmetic number, because the mean of its divisors is an integer number (17322660).

Almost surely, 2^1463746944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1463746944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217300480).

1463746944 is an abundant number, since it is smaller than the sum of its proper divisors (2970854016).

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

1463746944 is a wasteful number, since it uses less digits than its factorization.

1463746944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 237 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The square root of 1463746944 is about 38258.9459342518. The cubic root of 1463746944 is about 1135.4168467648.

The spelling of 1463746944 in words is "one billion, four hundred sixty-three million, seven hundred forty-six thousand, nine hundred forty-four".