1563904440 has 384 divisors, whose sum is σ = 6200064000. Its totient is φ = 333932544.

The previous prime is 1563904427. The next prime is 1563904471. The reversal of 1563904440 is 444093651.

1563904440 is a `hidden beast` number, since 1 + 563 + 90 + 4 + 4 + 4 + 0 = 666.

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 = 1563904395 and 1563904404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4261137 + ... + 4261503.

It is an arithmetic number, because the mean of its divisors is an integer number (16146000).

Almost surely, 2^1563904440 is an apocalyptic number.

1563904440 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 1563904440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100032000).

1563904440 is an abundant number, since it is smaller than the sum of its proper divisors (4636159560).

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

1563904440 is a wasteful number, since it uses less digits than its factorization.

1563904440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1563904440 is about 39546.2316788844. The cubic root of 1563904440 is about 1160.7447753826.

The spelling of 1563904440 in words is "one billion, five hundred sixty-three million, nine hundred four thousand, four hundred forty".