1056480000 has 360 divisors, whose sum is σ = 3678022656. Its totient is φ = 268800000.

The previous prime is 1056479987. The next prime is 1056480001. The reversal of 1056480000 is 846501.

1056480000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1056480000² = 2232299980800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1056480001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14879965 + ... + 14880035.

Almost surely, 2^1056480000 is an apocalyptic number.

1056480000 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 1056480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839011328).

1056480000 is an abundant number, since it is smaller than the sum of its proper divisors (2621542656).

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

1056480000 is an frugal number, since it uses more digits than its factorization.

1056480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1056480000 is about 32503.5382689331. The cubic root of 1056480000 is about 1018.4829427835.

The spelling of 1056480000 in words is "one billion, fifty-six million, four hundred eighty thousand".