1054812800 has 48 divisors (see below), whose sum is σ = 2605725150. Its totient is φ = 421923840.

The previous prime is 1054812779. The next prime is 1054812881. The reversal of 1054812800 is 82184501.

It can be written as a sum of positive squares in 3 ways, for example, as 950118976 + 104693824 = 30824^2 + 10232^2 .

It is a super-2 number, since 2×1054812800² = 2225260086087680000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 161615 + ... + 168014.

Almost surely, 2^1054812800 is an apocalyptic number.

1054812800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054812800 is an abundant number, since it is smaller than the sum of its proper divisors (1550912350).

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

1054812800 is an equidigital number, since it uses as much as digits as its factorization.

1054812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329653 (or 329636 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 1054812800 is about 32477.8817043230. The cubic root of 1054812800 is about 1017.9469147338.

The spelling of 1054812800 in words is "one billion, fifty-four million, eight hundred twelve thousand, eight hundred".