205451000 has 64 divisors (see below), whose sum is σ = 492579360. Its totient is φ = 80160000.

The previous prime is 205450997. The next prime is 205451003. The reversal of 205451000 is 154502.

It is an interprime number because it is at equal distance from previous prime (205450997) and next prime (205451003).

It is a super-2 number, since 2×205451000² = 84420226802000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 205451000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205451003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38495 + ... + 43505.

Almost surely, 2^205451000 is an apocalyptic number.

205451000 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 205451000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246289680).

205451000 is an abundant number, since it is smaller than the sum of its proper divisors (287128360).

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

205451000 is a wasteful number, since it uses less digits than its factorization.

205451000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5073 (or 5059 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 205451000 is about 14333.5620136796. The cubic root of 205451000 is about 590.0689376500.

The spelling of 205451000 in words is "two hundred five million, four hundred fifty-one thousand".