364849824 has 48 divisors (see below), whose sum is σ = 964111680. Its totient is φ = 120806400.

The previous prime is 364849813. The next prime is 364849829. The reversal of 364849824 is 428948463.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (364849829) 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, 1912 + ... + 27080.

It is an arithmetic number, because the mean of its divisors is an integer number (20085660).

Almost surely, 2^364849824 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 364849824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482055840).

364849824 is an abundant number, since it is smaller than the sum of its proper divisors (599261856).

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

364849824 is a wasteful number, since it uses less digits than its factorization.

364849824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25333 (or 25325 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 364849824 is about 19101.0424846394. The cubic root of 364849824 is about 714.5589233567.

The spelling of 364849824 in words is "three hundred sixty-four million, eight hundred forty-nine thousand, eight hundred twenty-four".