1463275440 has 240 divisors, whose sum is σ = 5476363776. Its totient is φ = 347097600.

The previous prime is 1463275427. The next prime is 1463275447. The reversal of 1463275440 is 445723641.

1463275440 is a `hidden beast` number, since 14 + 632 + 7 + 5 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 1463275395 and 1463275404.

It is not an unprimeable number, because it can be changed into a prime (1463275447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370275 + ... + 374205.

Almost surely, 2^1463275440 is an apocalyptic number.

1463275440 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 1463275440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738181888).

1463275440 is an abundant number, since it is smaller than the sum of its proper divisors (4013088336).

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

1463275440 is a wasteful number, since it uses less digits than its factorization.

1463275440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 1463275440 is about 38252.7834281376. The cubic root of 1463275440 is about 1135.2949197062.

The spelling of 1463275440 in words is "one billion, four hundred sixty-three million, two hundred seventy-five thousand, four hundred forty".