366144400 has 60 divisors (see below), whose sum is σ = 888302272. Its totient is φ = 145019520.

The previous prime is 366144377. The next prime is 366144409. The reversal of 366144400 is 4441663.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (366144409) 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, 36757 + ... + 45643.

Almost surely, 2^366144400 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 366144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444151136).

366144400 is an abundant number, since it is smaller than the sum of its proper divisors (522157872).

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

366144400 is a wasteful number, since it uses less digits than its factorization.

366144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9008 (or 8997 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 366144400 is about 19134.9000519992. The cubic root of 366144400 is about 715.4030687390.

It can be divided in two parts, 36614 and 4400, that added together give a palindrome (41014).

The spelling of 366144400 in words is "three hundred sixty-six million, one hundred forty-four thousand, four hundred".