1054544000 has 128 divisors (see below), whose sum is σ = 2776803120. Its totient is φ = 396902400.

The previous prime is 1054543991. The next prime is 1054544003. The reversal of 1054544000 is 4454501.

It can be written as a sum of positive squares in 8 ways, for example, as 41267776 + 1013276224 = 6424^2 + 31832^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1054544000² = 2224126095872000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054544003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270062 + ... + 273938.

Almost surely, 2^1054544000 is an apocalyptic number.

1054544000 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 1054544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388401560).

1054544000 is an abundant number, since it is smaller than the sum of its proper divisors (1722259120).

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

1054544000 is an equidigital number, since it uses as much as digits as its factorization.

1054544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 1054544000 is about 32473.7432397314. The cubic root of 1054544000 is about 1017.8604389229.

Adding to 1054544000 its reverse (4454501), we get a palindrome (1058998501).

It can be divided in two parts, 10545 and 44000, that added together give a palindrome (54545).

The spelling of 1054544000 in words is "one billion, fifty-four million, five hundred forty-four thousand".