1304414496 has 288 divisors, whose sum is σ = 4829751360. Its totient is φ = 338688000.

The previous prime is 1304414477. The next prime is 1304414591. The reversal of 1304414496 is 6944144031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1304414496.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464296 + ... + 467096.

It is an arithmetic number, because the mean of its divisors is an integer number (16769970).

Almost surely, 2^1304414496 is an apocalyptic number.

1304414496 is a gapful number since it is divisible by the number (16) 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 1304414496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414875680).

1304414496 is an abundant number, since it is smaller than the sum of its proper divisors (3525336864).

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

1304414496 is a wasteful number, since it uses less digits than its factorization.

1304414496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1304414496 is about 36116.6789170876. The cubic root of 1304414496 is about 1092.6268590197.

The spelling of 1304414496 in words is "one billion, three hundred four million, four hundred fourteen thousand, four hundred ninety-six".