364468104 has 288 divisors, whose sum is σ = 1336046400. Its totient is φ = 87160320.

The previous prime is 364468099. The next prime is 364468109. The reversal of 364468104 is 401864463.

364468104 is a `hidden beast` number, since 3 + 644 + 6 + 8 + 1 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (364468099) and next prime (364468109).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (364468109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 936742 + ... + 937130.

It is an arithmetic number, because the mean of its divisors is an integer number (4639050).

Almost surely, 2^364468104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364468104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668023200).

364468104 is an abundant number, since it is smaller than the sum of its proper divisors (971578296).

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

364468104 is a wasteful number, since it uses less digits than its factorization.

364468104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 364468104 is about 19091.0477449510. The cubic root of 364468104 is about 714.3096366693.

The spelling of 364468104 in words is "three hundred sixty-four million, four hundred sixty-eight thousand, one hundred four".