1004002560 has 576 divisors, whose sum is σ = 4120704000. Its totient is φ = 228925440.

The previous prime is 1004002553. The next prime is 1004002589. The reversal of 1004002560 is 652004001.

It is a happy number.

1004002560 is a `hidden beast` number, since 10 + 0 + 400 + 256 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1004002560² = 2016042280973107200, which contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 7222971 + ... + 7223109.

It is an arithmetic number, because the mean of its divisors is an integer number (7154000).

Almost surely, 2^1004002560 is an apocalyptic number.

1004002560 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 1004002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060352000).

1004002560 is an abundant number, since it is smaller than the sum of its proper divisors (3116701440).

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

1004002560 is a wasteful number, since it uses less digits than its factorization.

1004002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1004002560 is about 31685.9994319258. Note that the first 3 decimals coincide. The cubic root of 1004002560 is about 1001.3324105603.

Adding to 1004002560 its reverse (652004001), we get a palindrome (1656006561).

The spelling of 1004002560 in words is "one billion, four million, two thousand, five hundred sixty".