205454000 has 80 divisors (see below), whose sum is σ = 508553760. Its totient is φ = 80236800.

The previous prime is 205453999. The next prime is 205454021. The reversal of 205454000 is 454502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×205454000² = 84422692232000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 84806 + ... + 87194.

It is an arithmetic number, because the mean of its divisors is an integer number (6356922).

Almost surely, 2^205454000 is an apocalyptic number.

205454000 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 205454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254276880).

205454000 is an abundant number, since it is smaller than the sum of its proper divisors (303099760).

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

205454000 is a wasteful number, since it uses less digits than its factorization.

205454000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 205454000 is about 14333.6666627908. Note that the first 5 decimals coincide. The cubic root of 205454000 is about 590.0718097026.

The spelling of 205454000 in words is "two hundred five million, four hundred fifty-four thousand".