205401408 has 112 divisors (see below), whose sum is σ = 572390016. Its totient is φ = 64880640.

The previous prime is 205401407. The next prime is 205401433. The reversal of 205401408 is 804104502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205401401) 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, 852168 + ... + 852408.

Almost surely, 2^205401408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205401408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286195008).

205401408 is an abundant number, since it is smaller than the sum of its proper divisors (366988608).

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

205401408 is a wasteful number, since it uses less digits than its factorization.

205401408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 205401408 is about 14331.8319833858. The cubic root of 205401408 is about 590.0214566553.

The spelling of 205401408 in words is "two hundred five million, four hundred one thousand, four hundred eight".