1054432000 has 144 divisors (see below), whose sum is σ = 2665065312. Its totient is φ = 415641600.

The previous prime is 1054431991. The next prime is 1054432007. The reversal of 1054432000 is 2344501.

1054432000 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 2×1054432000² = 2223653685248000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054432007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2655802 + ... + 2656198.

It is an arithmetic number, because the mean of its divisors is an integer number (18507398).

Almost surely, 2^1054432000 is an apocalyptic number.

1054432000 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 1054432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332532656).

1054432000 is an abundant number, since it is smaller than the sum of its proper divisors (1610633312).

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

1054432000 is an frugal number, since it uses more digits than its factorization.

1054432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 1054432000 is about 32472.0187238182. The cubic root of 1054432000 is about 1017.8244029980.

Adding to 1054432000 its reverse (2344501), we get a palindrome (1056776501).

The spelling of 1054432000 in words is "one billion, fifty-four million, four hundred thirty-two thousand".