204273840 has 80 divisors (see below), whose sum is σ = 635959296. Its totient is φ = 54240000.

The previous prime is 204273827. The next prime is 204273841. The reversal of 204273840 is 48372402.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 204273798 and 204273807.

It is not an unprimeable number, because it can be changed into a prime (204273841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58545 + ... + 61935.

Almost surely, 2^204273840 is an apocalyptic number.

204273840 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 204273840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317979648).

204273840 is an abundant number, since it is smaller than the sum of its proper divisors (431685456).

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

204273840 is a wasteful number, since it uses less digits than its factorization.

204273840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 204273840 is about 14292.4399596430. The cubic root of 204273840 is about 588.9398178071.

The spelling of 204273840 in words is "two hundred four million, two hundred seventy-three thousand, eight hundred forty".