1004345460 has 48 divisors (see below), whose sum is σ = 3124632000. Its totient is φ = 267825312.

The previous prime is 1004345399. The next prime is 1004345513. The reversal of 1004345460 is 645434001.

It is a super-3 number, since 3×1004345460³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 929410 + ... + 930489.

It is an arithmetic number, because the mean of its divisors is an integer number (65096500).

Almost surely, 2^1004345460 is an apocalyptic number.

1004345460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004345460 is an abundant number, since it is smaller than the sum of its proper divisors (2120286540).

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

1004345460 is a wasteful number, since it uses less digits than its factorization.

1004345460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859917 (or 1859909 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1004345460 is about 31691.4098771260. The cubic root of 1004345460 is about 1001.4463936036.

Adding to 1004345460 its reverse (645434001), we get a palindrome (1649779461).

The spelling of 1004345460 in words is "one billion, four million, three hundred forty-five thousand, four hundred sixty".