1304654040 has 160 divisors (see below), whose sum is σ = 4504016880. Its totient is φ = 338473728.

The previous prime is 1304654033. The next prime is 1304654089. The reversal of 1304654040 is 404564031.

1304654040 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 654 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1304653995 and 1304654013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 114439 + ... + 125321.

Almost surely, 2^1304654040 is an apocalyptic number.

1304654040 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 1304654040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252008440).

1304654040 is an abundant number, since it is smaller than the sum of its proper divisors (3199362840).

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

1304654040 is a wasteful number, since it uses less digits than its factorization.

1304654040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10943 (or 10930 counting only the distinct ones).

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

The square root of 1304654040 is about 36119.9950166110. The cubic root of 1304654040 is about 1092.6937386271.

Subtracting from 1304654040 its reverse (404564031), we obtain a palindrome (900090009).

The spelling of 1304654040 in words is "one billion, three hundred four million, six hundred fifty-four thousand, forty".