85405464 has 48 divisors (see below), whose sum is σ = 239288400. Its totient is φ = 27486144.

The previous prime is 85405421. The next prime is 85405477. The reversal of 85405464 is 46450458.

85405464 is a `hidden beast` number, since 8 + 540 + 54 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 18364 + ... + 22539.

It is an arithmetic number, because the mean of its divisors is an integer number (4985175).

Almost surely, 2^85405464 is an apocalyptic number.

It is an amenable number.

85405464 is an abundant number, since it is smaller than the sum of its proper divisors (153882936).

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

85405464 is a wasteful number, since it uses less digits than its factorization.

85405464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40944 (or 40937 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 85405464 is about 9241.5076692064. The cubic root of 85405464 is about 440.3809785705.

The spelling of 85405464 in words is "eighty-five million, four hundred five thousand, four hundred sixty-four".