1304146620 has 288 divisors, whose sum is σ = 4698570240. Its totient is φ = 286640640.

The previous prime is 1304146607. The next prime is 1304146631. The reversal of 1304146620 is 266414031.

1304146620 is a `hidden beast` number, since 1 + 30 + 4 + 1 + 4 + 6 + 620 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3939855 + ... + 3940185.

It is an arithmetic number, because the mean of its divisors is an integer number (16314480).

Almost surely, 2^1304146620 is an apocalyptic number.

1304146620 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 1304146620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349285120).

1304146620 is an abundant number, since it is smaller than the sum of its proper divisors (3394423620).

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

1304146620 is a wasteful number, since it uses less digits than its factorization.

1304146620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1304146620 is about 36112.9702461595. The cubic root of 1304146620 is about 1092.5520595468.

The spelling of 1304146620 in words is "one billion, three hundred four million, one hundred forty-six thousand, six hundred twenty".