205453248 has 224 divisors, whose sum is σ = 730544640. Its totient is φ = 49213440.

The previous prime is 205453231. The next prime is 205453321. The reversal of 205453248 is 842354502.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×205453248² = 84422074227499008, 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191658 + ... + 192726.

It is an arithmetic number, because the mean of its divisors is an integer number (3261360).

Almost surely, 2^205453248 is an apocalyptic number.

205453248 is a gapful number since it is divisible by the number (28) 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 205453248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365272320).

205453248 is an abundant number, since it is smaller than the sum of its proper divisors (525091392).

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

205453248 is a wasteful number, since it uses less digits than its factorization.

205453248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 205453248 is about 14333.6404308187. The cubic root of 205453248 is about 590.0710897774.

The spelling of 205453248 in words is "two hundred five million, four hundred fifty-three thousand, two hundred forty-eight".