1304907840 has 224 divisors, whose sum is σ = 4846320000. Its totient is φ = 329619456.

The previous prime is 1304907839. The next prime is 1304907847. The reversal of 1304907840 is 487094031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1304907795 and 1304907804.

It is not an unprimeable number, because it can be changed into a prime (1304907847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160186 + ... + 168134.

Almost surely, 2^1304907840 is an apocalyptic number.

1304907840 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 1304907840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423160000).

1304907840 is an abundant number, since it is smaller than the sum of its proper divisors (3541412160).

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

1304907840 is a wasteful number, since it uses less digits than its factorization.

1304907840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7994 (or 7978 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1304907840 is about 36123.5081352850. The cubic root of 1304907840 is about 1092.7645895146.

The spelling of 1304907840 in words is "one billion, three hundred four million, nine hundred seven thousand, eight hundred forty".