1564316460 has 288 divisors, whose sum is σ = 5626962432. Its totient is φ = 344355840.

The previous prime is 1564316459. The next prime is 1564316471. The reversal of 1564316460 is 646134651.

It is a happy number.

1564316460 is a `hidden beast` number, since 1 + 5 + 6 + 4 + 3 + 1 + 646 + 0 = 666.

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

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, 5527479 + ... + 5527761.

It is an arithmetic number, because the mean of its divisors is an integer number (19538064).

Almost surely, 2^1564316460 is an apocalyptic number.

1564316460 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 1564316460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813481216).

1564316460 is an abundant number, since it is smaller than the sum of its proper divisors (4062645972).

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

1564316460 is a wasteful number, since it uses less digits than its factorization.

1564316460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 448 counting only the distinct ones).

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

The square root of 1564316460 is about 39551.4406817249. The cubic root of 1564316460 is about 1160.8467014886.

The spelling of 1564316460 in words is "one billion, five hundred sixty-four million, three hundred sixteen thousand, four hundred sixty".