1564460460 has 96 divisors (see below), whose sum is σ = 5078868480. Its totient is φ = 399047616.

The previous prime is 1564460449. The next prime is 1564460489. The reversal of 1564460460 is 640644651.

1564460460 is a `hidden beast` number, since 1 + 5 + 6 + 44 + 604 + 6 + 0 = 666.

1564460460 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50562 + ... + 75401.

It is an arithmetic number, because the mean of its divisors is an integer number (52904880).

Almost surely, 2^1564460460 is an apocalyptic number.

1564460460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1564460460 is an abundant number, since it is smaller than the sum of its proper divisors (3514408020).

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

1564460460 is a wasteful number, since it uses less digits than its factorization.

1564460460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126004 (or 125996 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1564460460 is about 39553.2610539258. The cubic root of 1564460460 is about 1160.8823201971.

The spelling of 1564460460 in words is "one billion, five hundred sixty-four million, four hundred sixty thousand, four hundred sixty".