85438404 has 36 divisors (see below), whose sum is σ = 216559980. Its totient is φ = 28401600.

The previous prime is 85438403. The next prime is 85438417. The reversal of 85438404 is 40483458.

It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 48860100 = 6048^2 + 6990^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85438403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10954 + ... + 17054.

It is an arithmetic number, because the mean of its divisors is an integer number (6015555).

Almost surely, 2^85438404 is an apocalyptic number.

It is an amenable number.

85438404 is an abundant number, since it is smaller than the sum of its proper divisors (131121576).

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

85438404 is a wasteful number, since it uses less digits than its factorization.

85438404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6500 (or 6495 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 85438404 is about 9243.2896741366. The cubic root of 85438404 is about 440.4375880823.

The spelling of 85438404 in words is "eighty-five million, four hundred thirty-eight thousand, four hundred four".