205628472 has 48 divisors (see below), whose sum is σ = 636470640. Its totient is φ = 58750848.

The previous prime is 205628461. The next prime is 205628477. The reversal of 205628472 is 274826502.

205628472 is a `hidden beast` number, since 20 + 5 + 628 + 4 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205628477) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203493 + ... + 204500.

It is an arithmetic number, because the mean of its divisors is an integer number (13259805).

Almost surely, 2^205628472 is an apocalyptic number.

It is an amenable number.

205628472 is an abundant number, since it is smaller than the sum of its proper divisors (430842168).

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

205628472 is a wasteful number, since it uses less digits than its factorization.

205628472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408012 (or 408005 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 205628472 is about 14339.7514622813. The cubic root of 205628472 is about 590.2387925478.

It can be divided in two parts, 2056284 and 72, that added together give a square (2056356 = 1434²).

The spelling of 205628472 in words is "two hundred five million, six hundred twenty-eight thousand, four hundred seventy-two".