85400458 has 32 divisors (see below), whose sum is σ = 154187712. Its totient is φ = 34953600.

The previous prime is 85400453. The next prime is 85400479.

85400458 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (85400453) 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 15 ways as a sum of consecutive naturals, for example, 8085 + ... + 15367.

It is an arithmetic number, because the mean of its divisors is an integer number (4818366).

Almost surely, 2^85400458 is an apocalyptic number.

85400458 is a deficient number, since it is larger than the sum of its proper divisors (68787254).

85400458 is a wasteful number, since it uses less digits than its factorization.

85400458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7350.

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 85400458 is about 9241.2368219844. The cubic root of 85400458 is about 440.3723741630.

It can be divided in two parts, 85400 and 458, that added together give a palindrome (85858).

The spelling of 85400458 in words is "eighty-five million, four hundred thousand, four hundred fifty-eight".