205504020 has 48 divisors (see below), whose sum is σ = 639347520. Its totient is φ = 54800928.

The previous prime is 205504001. The next prime is 205504037. The reversal of 205504020 is 20405502.

It is a super-3 number, since 3×205504020³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 205503984 and 205504002.

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, 189742 + ... + 190821.

It is an arithmetic number, because the mean of its divisors is an integer number (13319740).

Almost surely, 2^205504020 is an apocalyptic number.

205504020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205504020 is an abundant number, since it is smaller than the sum of its proper divisors (433843500).

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

205504020 is a wasteful number, since it uses less digits than its factorization.

205504020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380581 (or 380573 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 205504020 is about 14335.4113997471. The cubic root of 205504020 is about 590.1196922731.

Adding to 205504020 its reverse (20405502), we get a palindrome (225909522).

The spelling of 205504020 in words is "two hundred five million, five hundred four thousand, twenty".