364227440 has 80 divisors (see below), whose sum is σ = 871765632. Its totient is φ = 141453312.

The previous prime is 364227439. The next prime is 364227449. The reversal of 364227440 is 44722463.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 364227397 and 364227406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364227449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 590012 + ... + 590628.

Almost surely, 2^364227440 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 364227440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435882816).

364227440 is an abundant number, since it is smaller than the sum of its proper divisors (507538192).

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

364227440 is a wasteful number, since it uses less digits than its factorization.

364227440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 32.

The square root of 364227440 is about 19084.7436451214. The cubic root of 364227440 is about 714.1523787690.

The spelling of 364227440 in words is "three hundred sixty-four million, two hundred twenty-seven thousand, four hundred forty".