90450400 has 36 divisors (see below), whose sum is σ = 220813992. Its totient is φ = 36179840.

The previous prime is 90450389. The next prime is 90450401. The reversal of 90450400 is 405409.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90450401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55732 + ... + 57331.

It is an arithmetic number, because the mean of its divisors is an integer number (6133722).

Almost surely, 2^90450400 is an apocalyptic number.

It is an amenable number.

90450400 is an abundant number, since it is smaller than the sum of its proper divisors (130363592).

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

90450400 is a wasteful number, since it uses less digits than its factorization.

90450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113083 (or 113070 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 90450400 is about 9510.5415198084. The cubic root of 90450400 is about 448.8867957655.

Adding to 90450400 its reverse (405409), we get a palindrome (90855809).

The spelling of 90450400 in words is "ninety million, four hundred fifty thousand, four hundred".