90353444 has 36 divisors (see below), whose sum is σ = 167736660. Its totient is φ = 42524160.

The previous prime is 90353443. The next prime is 90353467. The reversal of 90353444 is 44435309.

It can be written as a sum of positive squares in 6 ways, for example, as 59105344 + 31248100 = 7688^2 + 5590^2 .

It is a super-2 number, since 2×90353444² = 16327489685322272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 90353444.

It is not an unprimeable number, because it can be changed into a prime (90353441) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 799532 + ... + 799644.

Almost surely, 2^90353444 is an apocalyptic number.

It is an amenable number.

90353444 is a deficient number, since it is larger than the sum of its proper divisors (77383216).

90353444 is a wasteful number, since it uses less digits than its factorization.

90353444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 90353444 is about 9505.4428618555. The cubic root of 90353444 is about 448.7263475040.

The spelling of 90353444 in words is "ninety million, three hundred fifty-three thousand, four hundred forty-four".