364449900 has 72 divisors (see below), whose sum is σ = 1056588624. Its totient is φ = 96992000.

The previous prime is 364449853. The next prime is 364449949. The reversal of 364449900 is 9944463.

It is a super-2 number, since 2×364449900² = 265647459220020000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 209434 + ... + 211166.

It is an arithmetic number, because the mean of its divisors is an integer number (14674842).

Almost surely, 2^364449900 is an apocalyptic number.

364449900 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 364449900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528294312).

364449900 is an abundant number, since it is smaller than the sum of its proper divisors (692138724).

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

364449900 is a wasteful number, since it uses less digits than its factorization.

364449900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 364449900 is about 19090.5709710317. The cubic root of 364449900 is about 714.2977439879.

The spelling of 364449900 in words is "three hundred sixty-four million, four hundred forty-nine thousand, nine hundred".