204867840 has 144 divisors (see below), whose sum is σ = 675795456. Its totient is φ = 52838400.

The previous prime is 204867787. The next prime is 204867869. The reversal of 204867840 is 48768402.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 118180 + ... + 119900.

It is an arithmetic number, because the mean of its divisors is an integer number (4693024).

Almost surely, 2^204867840 is an apocalyptic number.

204867840 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 204867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337897728).

204867840 is an abundant number, since it is smaller than the sum of its proper divisors (470927616).

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

204867840 is a wasteful number, since it uses less digits than its factorization.

204867840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 204867840 is about 14313.2050918025. The cubic root of 204867840 is about 589.5101171538.

The spelling of 204867840 in words is "two hundred four million, eight hundred sixty-seven thousand, eight hundred forty".