305930820 has 96 divisors (see below), whose sum is σ = 962664192. Its totient is φ = 72027648.

The previous prime is 305930819. The next prime is 305930839. The reversal of 305930820 is 28039503.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9414 + ... + 26466.

It is an arithmetic number, because the mean of its divisors is an integer number (10027752).

Almost surely, 2^305930820 is an apocalyptic number.

305930820 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 305930820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481332096).

305930820 is an abundant number, since it is smaller than the sum of its proper divisors (656733372).

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

305930820 is a wasteful number, since it uses less digits than its factorization.

305930820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17101 (or 17099 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 305930820 is about 17490.8781940759. The cubic root of 305930820 is about 673.8156240328.

The spelling of 305930820 in words is "three hundred five million, nine hundred thirty thousand, eight hundred twenty".