364844240 has 60 divisors (see below), whose sum is σ = 869777292. Its totient is φ = 142325760.

The previous prime is 364844201. The next prime is 364844261. The reversal of 364844240 is 42448463.

It can be written as a sum of positive squares in 6 ways, for example, as 31854736 + 332989504 = 5644^2 + 18248^2 .

It is a super-2 number, since 2×364844240² = 266222638922355200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 364844240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133124 + ... + 135836.

Almost surely, 2^364844240 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 364844240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434888646).

364844240 is an abundant number, since it is smaller than the sum of its proper divisors (504933052).

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

364844240 is a wasteful number, since it uses less digits than its factorization.

364844240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

The square root of 364844240 is about 19100.8963140477. The cubic root of 364844240 is about 714.5552779140. Note that the first 3 decimals are identical.

The spelling of 364844240 in words is "three hundred sixty-four million, eight hundred forty-four thousand, two hundred forty".