1005004240 has 40 divisors (see below), whose sum is σ = 2459619360. Its totient is φ = 380843136.

The previous prime is 1005004211. The next prime is 1005004261. The reversal of 1005004240 is 424005001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 329074 + ... + 332113.

It is an arithmetic number, because the mean of its divisors is an integer number (61490484).

Almost surely, 2^1005004240 is an apocalyptic number.

1005004240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005004240 is an abundant number, since it is smaller than the sum of its proper divisors (1454615120).

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

1005004240 is a wasteful number, since it uses less digits than its factorization.

1005004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661219 (or 661213 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 1005004240 is about 31701.8018415358. The cubic root of 1005004240 is about 1001.6653052191.

Adding to 1005004240 its reverse (424005001), we get a palindrome (1429009241).

The spelling of 1005004240 in words is "one billion, five million, four thousand, two hundred forty".