1656456480 has 720 divisors, whose sum is σ = 7266853440. Its totient is φ = 347120640.

The previous prime is 1656456479. The next prime is 1656456497. The reversal of 1656456480 is 846546561.

1656456480 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 4 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 53434065 + ... + 53434095.

It is an arithmetic number, because the mean of its divisors is an integer number (10092852).

Almost surely, 2^1656456480 is an apocalyptic number.

1656456480 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 1656456480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633426720).

1656456480 is an abundant number, since it is smaller than the sum of its proper divisors (5610396960).

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

1656456480 is a wasteful number, since it uses less digits than its factorization.

1656456480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 1656456480 is about 40699.5882043050. The cubic root of 1656456480 is about 1183.2050376459.

The spelling of 1656456480 in words is "one billion, six hundred fifty-six million, four hundred fifty-six thousand, four hundred eighty".