205149504 has 56 divisors (see below), whose sum is σ = 620337088. Its totient is φ = 58613760.

The previous prime is 205149493. The next prime is 205149533. The reversal of 205149504 is 405941502.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74977 + ... + 77664.

It is an arithmetic number, because the mean of its divisors is an integer number (11077448).

Almost surely, 2^205149504 is an apocalyptic number.

205149504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205149504 is an abundant number, since it is smaller than the sum of its proper divisors (415187584).

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

205149504 is a wasteful number, since it uses less digits than its factorization.

205149504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152663 (or 152653 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 205149504 is about 14323.0410178844. The cubic root of 205149504 is about 589.7801574885.

The spelling of 205149504 in words is "two hundred five million, one hundred forty-nine thousand, five hundred four".