365240 has 32 divisors (see below), whose sum is σ = 859680. Its totient is φ = 139392.

The previous prime is 365231. The next prime is 365249. The reversal of 365240 is 42563.

365240 = 24² + 25² + ... + 103².

It is an interprime number because it is at equal distance from previous prime (365231) and next prime (365249).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 365240.

It is not an unprimeable number, because it can be changed into a prime (365249) 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, 722 + ... + 1118.

It is an arithmetic number, because the mean of its divisors is an integer number (26865).

2³⁶⁵²⁴⁰ 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 365240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429840).

365240 is an abundant number, since it is smaller than the sum of its proper divisors (494440).

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

365240 is a wasteful number, since it uses less digits than its factorization.

365240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 365240 is about 604.3508914530. The cubic root of 365240 is about 71.4813552702.

The spelling of 365240 in words is "three hundred sixty-five thousand, two hundred forty".