1304738440 has 32 divisors (see below), whose sum is σ = 3108349080. Its totient is φ = 491195392.

The previous prime is 1304738431. The next prime is 1304738453. The reversal of 1304738440 is 448374031.

It can be written as a sum of positive squares in 4 ways, for example, as 1284362244 + 20376196 = 35838^2 + 4514^2 .

It is a super-3 number, since 3×1304738440³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 1304738396 and 1304738405.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 958687 + ... + 960046.

Almost surely, 2^1304738440 is an apocalyptic number.

1304738440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1304738440 is an abundant number, since it is smaller than the sum of its proper divisors (1803610640).

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

1304738440 is a wasteful number, since it uses less digits than its factorization.

1304738440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918761 (or 1918757 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 1304738440 is about 36121.1633256738. The cubic root of 1304738440 is about 1092.7173007772.

The spelling of 1304738440 in words is "one billion, three hundred four million, seven hundred thirty-eight thousand, four hundred forty".