1304950240 has 144 divisors (see below), whose sum is σ = 3451832496. Its totient is φ = 462336000.

The previous prime is 1304950237. The next prime is 1304950249. The reversal of 1304950240 is 420594031.

It is a junction number, because it is equal to n+sod(n) for n = 1304950199 and 1304950208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304950249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3254040 + ... + 3254440.

It is an arithmetic number, because the mean of its divisors is an integer number (23971059).

Almost surely, 2^1304950240 is an apocalyptic number.

1304950240 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 1304950240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725916248).

1304950240 is an abundant number, since it is smaller than the sum of its proper divisors (2146882256).

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

1304950240 is a wasteful number, since it uses less digits than its factorization.

1304950240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 1304950240 is about 36124.0950059652. The cubic root of 1304950240 is about 1092.7764250163.

The spelling of 1304950240 in words is "one billion, three hundred four million, nine hundred fifty thousand, two hundred forty".