1005258240 has 480 divisors, whose sum is σ = 4167161856. Its totient is φ = 218972160.

The previous prime is 1005258157. The next prime is 1005258271. The reversal of 1005258240 is 428525001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3709305 + ... + 3709575.

Almost surely, 2^1005258240 is an apocalyptic number.

1005258240 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 1005258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083580928).

1005258240 is an abundant number, since it is smaller than the sum of its proper divisors (3161903616).

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

1005258240 is a wasteful number, since it uses less digits than its factorization.

1005258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 1005258240 is about 31705.8076698891. The cubic root of 1005258240 is about 1001.7496834889.

The spelling of 1005258240 in words is "one billion, five million, two hundred fifty-eight thousand, two hundred forty".