205464330 has 128 divisors (see below), whose sum is σ = 570620160. Its totient is φ = 52565760.

The previous prime is 205464323. The next prime is 205464361. The reversal of 205464330 is 33464502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 205464294 and 205464303.

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 63 ways as a sum of consecutive naturals, for example, 1308612 + ... + 1308768.

It is an arithmetic number, because the mean of its divisors is an integer number (4457970).

Almost surely, 2^205464330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205464330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285310080).

205464330 is an abundant number, since it is smaller than the sum of its proper divisors (365155830).

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

205464330 is a wasteful number, since it uses less digits than its factorization.

205464330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 205464330 is about 14334.0269987188. The cubic root of 205464330 is about 590.0816989229.

The spelling of 205464330 in words is "two hundred five million, four hundred sixty-four thousand, three hundred thirty".