3004461460 has 216 divisors, whose sum is σ = 8692374600. Its totient is φ = 863976960.

The previous prime is 3004461437. The next prime is 3004461539. The reversal of 3004461460 is 641644003.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 246741264 + 2757720196 = 15708^2 + 52514^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1540566 + ... + 1542514.

It is an arithmetic number, because the mean of its divisors is an integer number (40242475).

Almost surely, 2^3004461460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004461460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346187300).

3004461460 is an abundant number, since it is smaller than the sum of its proper divisors (5687913140).

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

3004461460 is a wasteful number, since it uses less digits than its factorization.

3004461460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 3004461460 is about 54812.9679911606. The cubic root of 3004461460 is about 1442.9641649391.

It can be divided in two parts, 3004 and 461460, that added together give a palindrome (464464).

The spelling of 3004461460 in words is "three billion, four million, four hundred sixty-one thousand, four hundred sixty".