204173040 has 80 divisors (see below), whose sum is σ = 643708800. Its totient is φ = 53519616.

The previous prime is 204173017. The next prime is 204173059. The reversal of 204173040 is 40371402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×204173040⁴ (a number of 34 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204172998 and 204173016.

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, 6951 + ... + 21369.

It is an arithmetic number, because the mean of its divisors is an integer number (8046360).

Almost surely, 2^204173040 is an apocalyptic number.

204173040 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 204173040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321854400).

204173040 is an abundant number, since it is smaller than the sum of its proper divisors (439535760).

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

204173040 is a wasteful number, since it uses less digits than its factorization.

204173040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14494 (or 14488 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 204173040 is about 14288.9131847037. The cubic root of 204173040 is about 588.8429300525.

The spelling of 204173040 in words is "two hundred four million, one hundred seventy-three thousand, forty".