1560495456 has 288 divisors, whose sum is σ = 5085400320. Its totient is φ = 467679744.

The previous prime is 1560495407. The next prime is 1560495463. The reversal of 1560495456 is 6545940651.

1560495456 is a `hidden beast` number, since 1 + 5 + 60 + 49 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4346605 + ... + 4346963.

It is an arithmetic number, because the mean of its divisors is an integer number (17657640).

Almost surely, 2^1560495456 is an apocalyptic number.

1560495456 is a gapful number since it is divisible by the number (16) 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 1560495456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542700160).

1560495456 is an abundant number, since it is smaller than the sum of its proper divisors (3524904864).

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

1560495456 is a wasteful number, since it uses less digits than its factorization.

1560495456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 1560495456 is about 39503.1069157858. The cubic root of 1560495456 is about 1159.9007683645.

The spelling of 1560495456 in words is "one billion, five hundred sixty million, four hundred ninety-five thousand, four hundred fifty-six".