85484400 has 60 divisors (see below), whose sum is σ = 273838872. Its totient is φ = 22795520.

The previous prime is 85484383. The next prime is 85484423. The reversal of 85484400 is 448458.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34419 + ... + 36818.

Almost surely, 2^85484400 is an apocalyptic number.

85484400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85484400 is an abundant number, since it is smaller than the sum of its proper divisors (188354472).

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

85484400 is a wasteful number, since it uses less digits than its factorization.

85484400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71258 (or 71247 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 85484400 is about 9245.7774145823. Note that the first 3 decimals coincide. The cubic root of 85484400 is about 440.5166108327.

The spelling of 85484400 in words is "eighty-five million, four hundred eighty-four thousand, four hundred".