1000264440 has 192 divisors, whose sum is σ = 3544214400. Its totient is φ = 225130752.

The previous prime is 1000264403. The next prime is 1000264453. The reversal of 1000264440 is 444620001.

1000264440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392691 + ... + 395229.

It is an arithmetic number, because the mean of its divisors is an integer number (18459450).

Almost surely, 2^1000264440 is an apocalyptic number.

1000264440 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 1000264440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772107200).

1000264440 is an abundant number, since it is smaller than the sum of its proper divisors (2543949960).

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

1000264440 is a wasteful number, since it uses less digits than its factorization.

1000264440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1000264440 is about 31626.9574888259. The cubic root of 1000264440 is about 1000.0881388980.

Adding to 1000264440 its reverse (444620001), we get a palindrome (1444884441).

The spelling of 1000264440 in words is "one billion, two hundred sixty-four thousand, four hundred forty".