205450040 has 32 divisors (see below), whose sum is σ = 486594000. Its totient is φ = 77854464.

The previous prime is 205450039. The next prime is 205450061. The reversal of 205450040 is 40054502.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 205449994 and 205450021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134405 + ... + 135924.

Almost surely, 2^205450040 is an apocalyptic number.

205450040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205450040 is an abundant number, since it is smaller than the sum of its proper divisors (281143960).

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

205450040 is a wasteful number, since it uses less digits than its factorization.

205450040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270359 (or 270355 counting only the distinct ones).

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

The square root of 205450040 is about 14333.5285258027. The cubic root of 205450040 is about 590.0680185873.

The spelling of 205450040 in words is "two hundred five million, four hundred fifty thousand, forty".