1056356496 has 240 divisors, whose sum is σ = 3336453120. Its totient is φ = 309795840.

The previous prime is 1056356491. The next prime is 1056356503. The reversal of 1056356496 is 6946536501.

1056356496 is a `hidden beast` number, since 1 + 0 + 5 + 635 + 6 + 4 + 9 + 6 = 666.

It is a super-3 number, since 3×1056356496³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1056356491) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6325405 + ... + 6325571.

It is an arithmetic number, because the mean of its divisors is an integer number (13901888).

Almost surely, 2^1056356496 is an apocalyptic number.

1056356496 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 1056356496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668226560).

1056356496 is an abundant number, since it is smaller than the sum of its proper divisors (2280096624).

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

1056356496 is a wasteful number, since it uses less digits than its factorization.

1056356496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 1056356496 is about 32501.6383587043. The cubic root of 1056356496 is about 1018.4432538734.

The spelling of 1056356496 in words is "one billion, fifty-six million, three hundred fifty-six thousand, four hundred ninety-six".