1304970240 has 352 divisors, whose sum is σ = 4881358080. Its totient is φ = 291373056.

The previous prime is 1304970211. The next prime is 1304970283. The reversal of 1304970240 is 420794031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1304970198 and 1304970207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5698446 + ... + 5698674.

Almost surely, 2^1304970240 is an apocalyptic number.

1304970240 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 1304970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440679040).

1304970240 is an abundant number, since it is smaller than the sum of its proper divisors (3576387840).

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

1304970240 is a wasteful number, since it uses less digits than its factorization.

1304970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 1304970240 is about 36124.3718284484. The cubic root of 1304970240 is about 1092.7820077111.

The spelling of 1304970240 in words is "one billion, three hundred four million, nine hundred seventy thousand, two hundred forty".