90414400 has 42 divisors (see below), whose sum is σ = 222479870. Its totient is φ = 36165120.

The previous prime is 90414391. The next prime is 90414409. The reversal of 90414400 is 441409.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90414391) and next prime (90414409).

It can be written as a sum of positive squares in 3 ways, for example, as 6801664 + 83612736 = 2608^2 + 9144^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90414409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26655 + ... + 29854.

Almost surely, 2^90414400 is an apocalyptic number.

It is an amenable number.

90414400 is an abundant number, since it is smaller than the sum of its proper divisors (132065470).

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

90414400 is a wasteful number, since it uses less digits than its factorization.

90414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56531 (or 56516 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 90414400 is about 9508.6486947410. The cubic root of 90414400 is about 448.8272343225.

Adding to 90414400 its reverse (441409), we get a palindrome (90855809).

The spelling of 90414400 in words is "ninety million, four hundred fourteen thousand, four hundred".