36454400 has 90 divisors (see below), whose sum is σ = 91419930. Its totient is φ = 14417920.

The previous prime is 36454399. The next prime is 36454403. The reversal of 36454400 is 445463.

It can be written as a sum of positive squares in 3 ways, for example, as 262144 + 36192256 = 512^2 + 6016^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 36454400.

It is not an unprimeable number, because it can be changed into a prime (36454403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 409556 + ... + 409644.

It is an arithmetic number, because the mean of its divisors is an integer number (1015777).

Almost surely, 2^36454400 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 36454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45709965).

36454400 is an abundant number, since it is smaller than the sum of its proper divisors (54965530).

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

36454400 is an frugal number, since it uses more digits than its factorization.

36454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 36454400 is about 6037.7479245162. The cubic root of 36454400 is about 331.5761756895.

Adding to 36454400 its reverse (445463), we get a palindrome (36899863).

The spelling of 36454400 in words is "thirty-six million, four hundred fifty-four thousand, four hundred".