205479120 has 160 divisors (see below), whose sum is σ = 794234880. Its totient is φ = 42693120.

The previous prime is 205479103. The next prime is 205479149. The reversal of 205479120 is 21974502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12921 + ... + 24039.

It is an arithmetic number, because the mean of its divisors is an integer number (4963968).

Almost surely, 2^205479120 is an apocalyptic number.

205479120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205479120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397117440).

205479120 is an abundant number, since it is smaller than the sum of its proper divisors (588755760).

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

205479120 is a wasteful number, since it uses less digits than its factorization.

205479120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11153 (or 11147 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 205479120 is about 14334.5428947002. The cubic root of 205479120 is about 590.0958572587.

The spelling of 205479120 in words is "two hundred five million, four hundred seventy-nine thousand, one hundred twenty".