1056466880 has 224 divisors, whose sum is σ = 3068482560. Its totient is φ = 338411520.

The previous prime is 1056466849. The next prime is 1056466891. The reversal of 1056466880 is 886646501.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1056466880² = 2232244537073868800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4383560 + ... + 4383800.

Almost surely, 2^1056466880 is an apocalyptic number.

1056466880 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 1056466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534241280).

1056466880 is an abundant number, since it is smaller than the sum of its proper divisors (2012015680).

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

1056466880 is a wasteful number, since it uses less digits than its factorization.

1056466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 1056466880 is about 32503.3364441252. The cubic root of 1056466880 is about 1018.4787267228.

The spelling of 1056466880 in words is "one billion, fifty-six million, four hundred sixty-six thousand, eight hundred eighty".