1054305440 has 96 divisors (see below), whose sum is σ = 2712528000. Its totient is φ = 385717248.

The previous prime is 1054305407. The next prime is 1054305451. The reversal of 1054305440 is 445034501.

It is a super-2 number, since 2×1054305440² = 2223119921627187200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82181 + ... + 94139.

It is an arithmetic number, because the mean of its divisors is an integer number (28255500).

Almost surely, 2^1054305440 is an apocalyptic number.

1054305440 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 1054305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356264000).

1054305440 is an abundant number, since it is smaller than the sum of its proper divisors (1658222560).

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

1054305440 is a wasteful number, since it uses less digits than its factorization.

1054305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12022 (or 12014 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 1054305440 is about 32470.0699106115. The cubic root of 1054305440 is about 1017.7836793317.

Adding to 1054305440 its reverse (445034501), we get a palindrome (1499339941).

The spelling of 1054305440 in words is "one billion, fifty-four million, three hundred five thousand, four hundred forty".