90435400 has 144 divisors (see below), whose sum is σ = 239711220. Its totient is φ = 31680000.

The previous prime is 90435337. The next prime is 90435419. The reversal of 90435400 is 453409.

It can be written as a sum of positive squares in 6 ways, for example, as 76282756 + 14152644 = 8734^2 + 3762^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 895350 + ... + 895450.

Almost surely, 2^90435400 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 90435400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119855610).

90435400 is an abundant number, since it is smaller than the sum of its proper divisors (149275820).

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

90435400 is a wasteful number, since it uses less digits than its factorization.

90435400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 90435400 is about 9509.7528884824. The cubic root of 90435400 is about 448.8619804186.

Adding to 90435400 its reverse (453409), we get a palindrome (90888809).

The spelling of 90435400 in words is "ninety million, four hundred thirty-five thousand, four hundred".