204074640 has 400 divisors, whose sum is σ = 885836160. Its totient is φ = 42301440.

The previous prime is 204074599. The next prime is 204074683. The reversal of 204074640 is 46470402.

It is a super-2 number, since 2×204074640² = 83292917382259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 498756 + ... + 499164.

Almost surely, 2^204074640 is an apocalyptic number.

204074640 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 204074640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442918080).

204074640 is an abundant number, since it is smaller than the sum of its proper divisors (681761520).

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

204074640 is a wasteful number, since it uses less digits than its factorization.

204074640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 204074640 is about 14285.4695407606. The cubic root of 204074640 is about 588.7483183854.

The spelling of 204074640 in words is "two hundred four million, seventy-four thousand, six hundred forty".