85479300 has 180 divisors, whose sum is σ = 283260516. Its totient is φ = 22291200.

The previous prime is 85479257. The next prime is 85479311. The reversal of 85479300 is 397458.

It can be written as a sum of positive squares in 6 ways, for example, as 3504384 + 81974916 = 1872^2 + 9054^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 494014 + ... + 494186.

Almost surely, 2^85479300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85479300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141630258).

85479300 is an abundant number, since it is smaller than the sum of its proper divisors (197781216).

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

85479300 is a wasteful number, since it uses less digits than its factorization.

85479300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 85479300 is about 9245.5016088907. The cubic root of 85479300 is about 440.5078502502.

The spelling of 85479300 in words is "eighty-five million, four hundred seventy-nine thousand, three hundred".