90432400 has 120 divisors (see below), whose sum is σ = 233253920. Its totient is φ = 33592320.

The previous prime is 90432383. The next prime is 90432437. The reversal of 90432400 is 423409.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554719 + ... + 554881.

Almost surely, 2^90432400 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 90432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116626960).

90432400 is an abundant number, since it is smaller than the sum of its proper divisors (142821520).

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

90432400 is a wasteful number, since it uses less digits than its factorization.

90432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 90432400 is about 9509.5951543691. The cubic root of 90432400 is about 448.8570170199.

Adding to 90432400 its reverse (423409), we get a palindrome (90855809).

The spelling of 90432400 in words is "ninety million, four hundred thirty-two thousand, four hundred".