1304249856 has 480 divisors, whose sum is σ = 4597705728. Its totient is φ = 325140480.

The previous prime is 1304249827. The next prime is 1304249861. The reversal of 1304249856 is 6589424031.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30331371 + ... + 30331413.

Almost surely, 2^1304249856 is an apocalyptic number.

1304249856 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 1304249856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298852864).

1304249856 is an abundant number, since it is smaller than the sum of its proper divisors (3293455872).

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

1304249856 is a wasteful number, since it uses less digits than its factorization.

1304249856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 1304249856 is about 36114.3995658242. The cubic root of 1304249856 is about 1092.5808875243.

The spelling of 1304249856 in words is "one billion, three hundred four million, two hundred forty-nine thousand, eight hundred fifty-six".