1563468480 has 420 divisors, whose sum is σ = 6474793248. Its totient is φ = 357073920.

The previous prime is 1563468377. The next prime is 1563468499. The reversal of 1563468480 is 848643651.

1563468480 is a `hidden beast` number, since 1 + 5 + 634 + 6 + 8 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1269465 + ... + 1270695.

Almost surely, 2^1563468480 is an apocalyptic number.

1563468480 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 1563468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237396624).

1563468480 is an abundant number, since it is smaller than the sum of its proper divisors (4911324768).

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

1563468480 is a wasteful number, since it uses less digits than its factorization.

1563468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 1563468480 is about 39540.7192650817. The cubic root of 1563468480 is about 1160.6369074702.

The spelling of 1563468480 in words is "one billion, five hundred sixty-three million, four hundred sixty-eight thousand, four hundred eighty".