205512480 has 144 divisors (see below), whose sum is σ = 717837120. Its totient is φ = 53512704.

The previous prime is 205512457. The next prime is 205512497. The reversal of 205512480 is 84215502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×205512480⁴ (a number of 34 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60261 + ... + 63579.

It is an arithmetic number, because the mean of its divisors is an integer number (4984980).

Almost surely, 2^205512480 is an apocalyptic number.

205512480 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 205512480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358918560).

205512480 is an abundant number, since it is smaller than the sum of its proper divisors (512324640).

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

205512480 is a wasteful number, since it uses less digits than its factorization.

205512480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 205512480 is about 14335.7064702093. The cubic root of 205512480 is about 590.1277899965.

Adding to 205512480 its reverse (84215502), we get a palindrome (289727982).

It can be divided in two parts, 2055 and 12480, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 205512480 in words is "two hundred five million, five hundred twelve thousand, four hundred eighty".