1456834560 has 192 divisors, whose sum is σ = 4764614400. Its totient is φ = 379846656.

The previous prime is 1456834541. The next prime is 1456834579. The reversal of 1456834560 is 654386541.

It is an interprime number because it is at equal distance from previous prime (1456834541) and next prime (1456834579).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1443336 + ... + 1444344.

It is an arithmetic number, because the mean of its divisors is an integer number (24815700).

Almost surely, 2^1456834560 is an apocalyptic number.

1456834560 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 1456834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382307200).

1456834560 is an abundant number, since it is smaller than the sum of its proper divisors (3307779840).

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

1456834560 is a wasteful number, since it uses less digits than its factorization.

1456834560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 1456834560 is about 38168.5021974926. The cubic root of 1456834560 is about 1133.6267321887.

The spelling of 1456834560 in words is "one billion, four hundred fifty-six million, eight hundred thirty-four thousand, five hundred sixty".