1463975040 has 128 divisors (see below), whose sum is σ = 5090713920. Its totient is φ = 354897920.

The previous prime is 1463975021. The next prime is 1463975087. The reversal of 1463975040 is 405793641.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1463975040.

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 15 ways as a sum of consecutive naturals, for example, 13539 + ... + 55778.

Almost surely, 2^1463975040 is an apocalyptic number.

1463975040 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 1463975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545356960).

1463975040 is an abundant number, since it is smaller than the sum of its proper divisors (3626738880).

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

1463975040 is a wasteful number, since it uses less digits than its factorization.

1463975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69350 (or 69338 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 1463975040 is about 38261.9267680027. The cubic root of 1463975040 is about 1135.4758211184.

It can be divided in two parts, 1463 and 975040, that added together give a triangular number (976503 = T₁₃₉₇).

The spelling of 1463975040 in words is "one billion, four hundred sixty-three million, nine hundred seventy-five thousand, forty".