364221000 has 384 divisors, whose sum is σ = 1451399040. Its totient is φ = 81216000.

The previous prime is 364220977. The next prime is 364221029. The reversal of 364221000 is 122463.

It is a happy number.

364221000 is a `hidden beast` number, since 3 + 642 + 21 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1286859 + ... + 1287141.

It is an arithmetic number, because the mean of its divisors is an integer number (3779685).

Almost surely, 2^364221000 is an apocalyptic number.

364221000 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 364221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725699520).

364221000 is an abundant number, since it is smaller than the sum of its proper divisors (1087178040).

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

364221000 is a wasteful number, since it uses less digits than its factorization.

364221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 364221000 is about 19084.5749232201. The cubic root of 364221000 is about 714.1481697063.

Adding to 364221000 its reverse (122463), we get a palindrome (364343463).

It can be divided in two parts, 3642 and 21000, that added together give a palindrome (24642).

The spelling of 364221000 in words is "three hundred sixty-four million, two hundred twenty-one thousand".