1304190976 has 112 divisors (see below), whose sum is σ = 2922989328. Its totient is φ = 576716800.

The previous prime is 1304190949. The next prime is 1304191001. The reversal of 1304190976 is 6790914031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3694416 + ... + 3694768.

It is an arithmetic number, because the mean of its divisors is an integer number (26098119).

Almost surely, 2^1304190976 is an apocalyptic number.

1304190976 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 1304190976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461494664).

1304190976 is an abundant number, since it is smaller than the sum of its proper divisors (1618798352).

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

1304190976 is an equidigital number, since it uses as much as digits as its factorization.

1304190976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 1304190976 is about 36113.5843693201. The cubic root of 1304190976 is about 1092.5644458559.

The spelling of 1304190976 in words is "one billion, three hundred four million, one hundred ninety thousand, nine hundred seventy-six".