364440 has 32 divisors (see below), whose sum is σ = 1093680. Its totient is φ = 97152.

The previous prime is 364433. The next prime is 364447. The reversal of 364440 is 44463.

364440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (364433) and next prime (364447).

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 364440.

It is not an unprimeable number, because it can be changed into a prime (364447) by changing a digit.

364440 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1399 + ... + 1638.

2³⁶⁴⁴⁴⁰ is an apocalyptic number.

364440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

364440 is an abundant number, since it is smaller than the sum of its proper divisors (729240).

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

364440 is a wasteful number, since it uses less digits than its factorization.

364440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 364440 is about 603.6886614804. The cubic root of 364440 is about 71.4291276147.

The spelling of 364440 in words is "three hundred sixty-four thousand, four hundred forty".