205940400 has 60 divisors (see below), whose sum is σ = 659699592. Its totient is φ = 54917120.

The previous prime is 205940369. The next prime is 205940401. The reversal of 205940400 is 4049502.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×205940400² = 84822896704320000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (205940401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84609 + ... + 87008.

Almost surely, 2^205940400 is an apocalyptic number.

205940400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205940400 is an abundant number, since it is smaller than the sum of its proper divisors (453759192).

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

205940400 is a wasteful number, since it uses less digits than its factorization.

205940400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171638 (or 171627 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 205940400 is about 14350.6236798266. The cubic root of 205940400 is about 590.5370959012.

Adding to 205940400 its reverse (4049502), we get a palindrome (209989902).

The spelling of 205940400 in words is "two hundred five million, nine hundred forty thousand, four hundred".