1564130304 has 352 divisors, whose sum is σ = 5227219200. Its totient is φ = 457850880.

The previous prime is 1564130303. The next prime is 1564130311. The reversal of 1564130304 is 4030314651.

1564130304 is a `hidden beast` number, since 15 + 641 + 3 + 0 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×1564130304² = 4893007215782264832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1564130303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11252667 + ... + 11252805.

Almost surely, 2^1564130304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1564130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613609600).

1564130304 is an abundant number, since it is smaller than the sum of its proper divisors (3663088896).

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

1564130304 is a wasteful number, since it uses less digits than its factorization.

1564130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1564130304 is about 39549.0872713897. The cubic root of 1564130304 is about 1160.8006521636.

Adding to 1564130304 its reverse (4030314651), we get a palindrome (5594444955).

The spelling of 1564130304 in words is "one billion, five hundred sixty-four million, one hundred thirty thousand, three hundred four".