1000045440 has 320 divisors, whose sum is σ = 3625585920. Its totient is φ = 262656000.

The previous prime is 1000045427. The next prime is 1000045441. The reversal of 1000045440 is 445400001.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000045441) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 5235745 + ... + 5235935.

It is an arithmetic number, because the mean of its divisors is an integer number (11329956).

Almost surely, 2^1000045440 is an apocalyptic number.

1000045440 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 1000045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812792960).

1000045440 is an abundant number, since it is smaller than the sum of its proper divisors (2625540480).

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

1000045440 is a wasteful number, since it uses less digits than its factorization.

1000045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1000045440 is about 31623.4950630066. The cubic root of 1000045440 is about 1000.0151464373.

Adding to 1000045440 its reverse (445400001), we get a palindrome (1445445441).

The spelling of 1000045440 in words is "one billion, forty-five thousand, four hundred forty".