1563287040 has 480 divisors, whose sum is σ = 6434588160. Its totient is φ = 356327424.

The previous prime is 1563287039. The next prime is 1563287057. The reversal of 1563287040 is 407823651.

1563287040 is a `hidden beast` number, since 1 + 563 + 28 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 1563286986 and 1563287004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4354381 + ... + 4354739.

It is an arithmetic number, because the mean of its divisors is an integer number (13405392).

It is a vampire number, since it can be written as 23040 ⋅ 67851 (with its own digits).

Almost surely, 2^1563287040 is an apocalyptic number.

1563287040 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 1563287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217294080).

1563287040 is an abundant number, since it is smaller than the sum of its proper divisors (4871301120).

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

1563287040 is an frugal number, since it uses more digits than its factorization.

1563287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1563287040 is about 39538.4248548169. The cubic root of 1563287040 is about 1160.5920085569.

The spelling of 1563287040 in words is "one billion, five hundred sixty-three million, two hundred eighty-seven thousand, forty".