204372480 has 320 divisors, whose sum is σ = 742452480. Its totient is φ = 47579136.

The previous prime is 204372473. The next prime is 204372517. The reversal of 204372480 is 84273402.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×204372480² = 83536221162700800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2296276 + ... + 2296364.

It is an arithmetic number, because the mean of its divisors is an integer number (2320164).

Almost surely, 2^204372480 is an apocalyptic number.

204372480 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 204372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371226240).

204372480 is an abundant number, since it is smaller than the sum of its proper divisors (538080000).

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

204372480 is a wasteful number, since it uses less digits than its factorization.

204372480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 135 counting only the distinct ones).

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

The square root of 204372480 is about 14295.8903185496. The cubic root of 204372480 is about 589.0345985443.

The spelling of 204372480 in words is "two hundred four million, three hundred seventy-two thousand, four hundred eighty".