305420325600 has 288 divisors, whose sum is σ = 1093400017920. Its totient is φ = 73580451840.

The previous prime is 305420325599. The next prime is 305420325631. The reversal of 305420325600 is 6523024503.

It is a super-2 number, since 2×305420325600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1362261 + ... + 1570539.

It is an arithmetic number, because the mean of its divisors is an integer number (3796527840).

Almost surely, 2^305420325600 is an apocalyptic number.

305420325600 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 305420325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546700008960).

305420325600 is an abundant number, since it is smaller than the sum of its proper divisors (787979692320).

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

305420325600 is a wasteful number, since it uses less digits than its factorization.

305420325600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208362 (or 208349 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 305420325600 in words is "three hundred five billion, four hundred twenty million, three hundred twenty-five thousand, six hundred".