364113240 has 128 divisors (see below), whose sum is σ = 1118707200. Its totient is φ = 94786560.

The previous prime is 364113229. The next prime is 364113247. The reversal of 364113240 is 42311463.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 364113240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364113247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1099875 + ... + 1100205.

It is an arithmetic number, because the mean of its divisors is an integer number (8739900).

Almost surely, 2^364113240 is an apocalyptic number.

364113240 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 364113240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559353600).

364113240 is an abundant number, since it is smaller than the sum of its proper divisors (754593960).

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

364113240 is a wasteful number, since it uses less digits than its factorization.

364113240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 364113240 is about 19081.7514919360. The cubic root of 364113240 is about 714.0777324373.

The spelling of 364113240 in words is "three hundred sixty-four million, one hundred thirteen thousand, two hundred forty".