1305628416 has 144 divisors (see below), whose sum is σ = 3944102400. Its totient is φ = 425843712.

The previous prime is 1305628391. The next prime is 1305628427. The reversal of 1305628416 is 6148265031.

It is a happy number.

1305628416 is a `hidden beast` number, since 1 + 3 + 0 + 562 + 84 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 15 ways as a sum of consecutive naturals, for example, 322855 + ... + 326873.

It is an arithmetic number, because the mean of its divisors is an integer number (27389600).

Almost surely, 2^1305628416 is an apocalyptic number.

1305628416 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 1305628416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972051200).

1305628416 is an abundant number, since it is smaller than the sum of its proper divisors (2638473984).

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

1305628416 is an equidigital number, since it uses as much as digits as its factorization.

1305628416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4091 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1305628416 is about 36133.4805409055. The cubic root of 1305628416 is about 1092.9656956817.

The spelling of 1305628416 in words is "one billion, three hundred five million, six hundred twenty-eight thousand, four hundred sixteen".