204913920 has 288 divisors, whose sum is σ = 718768512. Its totient is φ = 49545216.

The previous prime is 204913909. The next prime is 204913921. The reversal of 204913920 is 29319402.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204913921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2807004 + ... + 2807076.

It is an arithmetic number, because the mean of its divisors is an integer number (2495724).

Almost surely, 2^204913920 is an apocalyptic number.

204913920 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 204913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359384256).

204913920 is an abundant number, since it is smaller than the sum of its proper divisors (513854592).

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

204913920 is a wasteful number, since it uses less digits than its factorization.

204913920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 204913920 is about 14314.8147036558. The cubic root of 204913920 is about 589.5543124584.

The spelling of 204913920 in words is "two hundred four million, nine hundred thirteen thousand, nine hundred twenty".