205423920 has 240 divisors, whose sum is σ = 787262112. Its totient is φ = 47554560.

The previous prime is 205423913. The next prime is 205423927. The reversal of 205423920 is 29324502.

It is an interprime number because it is at equal distance from previous prime (205423913) and next prime (205423927).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (205423927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158475 + ... + 159765.

Almost surely, 2^205423920 is an apocalyptic number.

205423920 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 205423920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393631056).

205423920 is an abundant number, since it is smaller than the sum of its proper divisors (581838192).

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

205423920 is a wasteful number, since it uses less digits than its factorization.

205423920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 205423920 is about 14332.6173464584. The cubic root of 205423920 is about 590.0430113238.

The spelling of 205423920 in words is "two hundred five million, four hundred twenty-three thousand, nine hundred twenty".