205430428 has 48 divisors (see below), whose sum is σ = 426037248. Its totient is φ = 84816000.

The previous prime is 205430419. The next prime is 205430453. The reversal of 205430428 is 824034502.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 205430396 and 205430405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269568 + ... + 270328.

It is an arithmetic number, because the mean of its divisors is an integer number (8875776).

Almost surely, 2^205430428 is an apocalyptic number.

205430428 is a gapful number since it is divisible by the number (28) 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 205430428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213018624).

205430428 is an abundant number, since it is smaller than the sum of its proper divisors (220606820).

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

205430428 is a wasteful number, since it uses less digits than its factorization.

205430428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 205430428 is about 14332.8443792570. The cubic root of 205430428 is about 590.0492422752.

The spelling of 205430428 in words is "two hundred five million, four hundred thirty thousand, four hundred twenty-eight".