205248000 has 160 divisors (see below), whose sum is σ = 683036640. Its totient is φ = 54681600.

The previous prime is 205247989. The next prime is 205248011. The reversal of 205248000 is 842502.

It is an interprime number because it is at equal distance from previous prime (205247989) and next prime (205248011).

It is a tau number, because it is divible by the number of its divisors (160).

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, 191466 + ... + 192534.

It is an arithmetic number, because the mean of its divisors is an integer number (4268979).

Almost surely, 2^205248000 is an apocalyptic number.

205248000 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 205248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341518320).

205248000 is an abundant number, since it is smaller than the sum of its proper divisors (477788640).

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

205248000 is an equidigital number, since it uses as much as digits as its factorization.

205248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 205248000 is about 14326.4789812431. The cubic root of 205248000 is about 589.8745304391.

The spelling of 205248000 in words is "two hundred five million, two hundred forty-eight thousand".