1564224480 has 768 divisors, whose sum is σ = 7071805440. Its totient is φ = 313860096.

The previous prime is 1564224479. The next prime is 1564224481. The reversal of 1564224480 is 844224651.

1564224480 is a `hidden beast` number, since 1 + 5 + 642 + 2 + 4 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1564224479) and next prime (1564224481).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1564224481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9041674 + ... + 9041846.

It is an arithmetic number, because the mean of its divisors is an integer number (9208080).

Almost surely, 2^1564224480 is an apocalyptic number.

1564224480 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 1564224480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535902720).

1564224480 is an abundant number, since it is smaller than the sum of its proper divisors (5507580960).

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

1564224480 is a wasteful number, since it uses less digits than its factorization.

1564224480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 1564224480 is about 39550.2778751300. The cubic root of 1564224480 is about 1160.8239488945.

The spelling of 1564224480 in words is "one billion, five hundred sixty-four million, two hundred twenty-four thousand, four hundred eighty".