204374940 has 192 divisors, whose sum is σ = 736985088. Its totient is φ = 41068800.

The previous prime is 204374927. The next prime is 204374981. The reversal of 204374940 is 49473402.

It is a super-2 number, since 2×204374940² = 83538232200007200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 142507 + ... + 143933.

It is an arithmetic number, because the mean of its divisors is an integer number (3838464).

Almost surely, 2^204374940 is an apocalyptic number.

204374940 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 204374940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368492544).

204374940 is an abundant number, since it is smaller than the sum of its proper divisors (532610148).

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

204374940 is a wasteful number, since it uses less digits than its factorization.

204374940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 204374940 is about 14295.9763570034. The cubic root of 204374940 is about 589.0369619077.

The spelling of 204374940 in words is "two hundred four million, three hundred seventy-four thousand, nine hundred forty".