365294240 has 48 divisors (see below), whose sum is σ = 871941672. Its totient is φ = 144605184.

The previous prime is 365294231. The next prime is 365294243. The reversal of 365294240 is 42492563.

It can be written as a sum of positive squares in 4 ways, for example, as 256384144 + 108910096 = 16012^2 + 10436^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 365294240.

It is not an unprimeable number, because it can be changed into a prime (365294243) 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, 3752 + ... + 27288.

Almost surely, 2^365294240 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 365294240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435970836).

365294240 is an abundant number, since it is smaller than the sum of its proper divisors (506647432).

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

365294240 is a wasteful number, since it uses less digits than its factorization.

365294240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23649 (or 23641 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 365294240 is about 19112.6722359800. The cubic root of 365294240 is about 714.8489354351.

The spelling of 365294240 in words is "three hundred sixty-five million, two hundred ninety-four thousand, two hundred forty".