304969378560 has 1152 divisors, whose sum is σ = 1254577766400. Its totient is φ = 61312204800.

The previous prime is 304969378471. The next prime is 304969378591. The reversal of 304969378560 is 65873969403.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 304969378494 and 304969378503.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1532509341 + ... + 1532509539.

It is an arithmetic number, because the mean of its divisors is an integer number (1089043200).

Almost surely, 2^304969378560 is an apocalyptic number.

304969378560 is a gapful number since it is divisible by the number (30) 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 304969378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627288883200).

304969378560 is an abundant number, since it is smaller than the sum of its proper divisors (949608387840).

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

304969378560 is a wasteful number, since it uses less digits than its factorization.

304969378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 60.

The spelling of 304969378560 in words is "three hundred four billion, nine hundred sixty-nine million, three hundred seventy-eight thousand, five hundred sixty".