364452 has 36 divisors (see below), whose sum is σ = 938448. Its totient is φ = 110000.

The previous prime is 364451. The next prime is 364459. The reversal of 364452 is 254463.

364452 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 3⁵ + 6⁷ + 4 + 4⁶ + 5⁷ + 2¹¹ .

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (364451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1327 + ... + 1577.

It is an arithmetic number, because the mean of its divisors is an integer number (26068).

364452 is a Friedman number, since it can be written as 4*(45^3-6*2), using all its digits and the basic arithmetic operations.

2³⁶⁴⁴⁵² 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 364452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469224).

364452 is an abundant number, since it is smaller than the sum of its proper divisors (573996).

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

364452 is a wasteful number, since it uses less digits than its factorization.

364452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 267 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 364452 is about 603.6986002965. The cubic root of 364452 is about 71.4299115939.

The spelling of 364452 in words is "three hundred sixty-four thousand, four hundred fifty-two".