204628512 has 96 divisors (see below), whose sum is σ = 591784704. Its totient is φ = 61395200.

The previous prime is 204628511. The next prime is 204628517. The reversal of 204628512 is 215826402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 204628512.

It is not an unprimeable number, because it can be changed into a prime (204628511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112087 + ... + 113897.

It is an arithmetic number, because the mean of its divisors is an integer number (6164424).

Almost surely, 2^204628512 is an apocalyptic number.

204628512 is a gapful number since it is divisible by the number (22) 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 204628512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295892352).

204628512 is an abundant number, since it is smaller than the sum of its proper divisors (387156192).

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

204628512 is a wasteful number, since it uses less digits than its factorization.

204628512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 204628512 is about 14304.8422570820. The cubic root of 204628512 is about 589.2804711337.

The spelling of 204628512 in words is "two hundred four million, six hundred twenty-eight thousand, five hundred twelve".