382300220 has 24 divisors (see below), whose sum is σ = 803965344. Its totient is φ = 152703936.

The previous prime is 382300213. The next prime is 382300223. The reversal of 382300220 is 22003283.

382300220 = 3072² + 3073² + ... + 3111².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 382300192 and 382300201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382300223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1394 + ... + 27686.

It is an arithmetic number, because the mean of its divisors is an integer number (33498556).

Almost surely, 2^382300220 is an apocalyptic number.

It is an amenable number.

382300220 is an abundant number, since it is smaller than the sum of its proper divisors (421665124).

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

382300220 is a wasteful number, since it uses less digits than its factorization.

382300220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27029 (or 27027 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 382300220 is about 19552.4990730085. The cubic root of 382300220 is about 725.7741837033.

The spelling of 382300220 in words is "three hundred eighty-two million, three hundred thousand, two hundred twenty".