36450400 has 144 divisors (see below), whose sum is σ = 106493184. Its totient is φ = 11911680.

The previous prime is 36450391. The next prime is 36450409. The reversal of 36450400 is 405463.

It is an interprime number because it is at equal distance from previous prime (36450391) and next prime (36450409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36450409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128659 + ... + 128941.

It is an arithmetic number, because the mean of its divisors is an integer number (739536).

Almost surely, 2^36450400 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 36450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53246592).

36450400 is an abundant number, since it is smaller than the sum of its proper divisors (70042784).

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

36450400 is a wasteful number, since it uses less digits than its factorization.

36450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 36450400 is about 6037.4166660915. The cubic root of 36450400 is about 331.5640477231.

Adding to 36450400 its reverse (405463), we get a palindrome (36855863).

The spelling of 36450400 in words is "thirty-six million, four hundred fifty thousand, four hundred".