90400441 has 8 divisors (see below), whose sum is σ = 95946984. Its totient is φ = 84879360.

The previous prime is 90400439. The next prime is 90400463. The reversal of 90400441 is 14400409.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23078416 + 67322025 = 4804^2 + 8205^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 90400441 - 2¹ = 90400439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90400421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1221 + ... + 13501.

It is an arithmetic number, because the mean of its divisors is an integer number (11993373).

Almost surely, 2^90400441 is an apocalyptic number.

It is an amenable number.

90400441 is a deficient number, since it is larger than the sum of its proper divisors (5546543).

90400441 is a wasteful number, since it uses less digits than its factorization.

90400441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12731.

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

The square root of 90400441 is about 9507.9146504373. The cubic root of 90400441 is about 448.8041351192.

The spelling of 90400441 in words is "ninety million, four hundred thousand, four hundred forty-one".