1056514400 has 144 divisors (see below), whose sum is σ = 2659204800. Its totient is φ = 409743360.

The previous prime is 1056514373. The next prime is 1056514421. The reversal of 1056514400 is 44156501.

1056514400 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 2×1056514400² = 2232445354814720000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1056514400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4613486 + ... + 4613714.

It is an arithmetic number, because the mean of its divisors is an integer number (18466700).

Almost surely, 2^1056514400 is an apocalyptic number.

1056514400 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 1056514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329602400).

1056514400 is an abundant number, since it is smaller than the sum of its proper divisors (1602690400).

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

1056514400 is a wasteful number, since it uses less digits than its factorization.

1056514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 1056514400 is about 32504.0674377838. The cubic root of 1056514400 is about 1018.4939969234.

The spelling of 1056514400 in words is "one billion, fifty-six million, five hundred fourteen thousand, four hundred".