366400 has 42 divisors (see below), whose sum is σ = 905510. Its totient is φ = 145920.

The previous prime is 366397. The next prime is 366409. The reversal of 366400 is 4663.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 87616 + 278784 = 296^2 + 528^2 .

It is an Ulam number.

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (366409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1486 + ... + 1714.

2³⁶⁶⁴⁰⁰ 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 366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452755).

366400 is an abundant number, since it is smaller than the sum of its proper divisors (539110).

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

366400 is a wasteful number, since it uses less digits than its factorization.

366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 366400 is about 605.3098380169. The cubic root of 366400 is about 71.5569500791.

It can be divided in two parts, 36 and 6400, that multiplied together give a square (230400 = 480²).

The spelling of 366400 in words is "three hundred sixty-six thousand, four hundred".