205399040 has 176 divisors, whose sum is σ = 615475584. Its totient is φ = 63897600.

The previous prime is 205399037. The next prime is 205399043. The reversal of 205399040 is 40993502.

It is an interprime number because it is at equal distance from previous prime (205399037) and next prime (205399043).

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 205398988 and 205399006.

It is not an unprimeable number, because it can be changed into a prime (205399043) 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, 393980 + ... + 394500.

Almost surely, 2^205399040 is an apocalyptic number.

205399040 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 205399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307737792).

205399040 is an abundant number, since it is smaller than the sum of its proper divisors (410076544).

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

205399040 is a wasteful number, since it uses less digits than its factorization.

205399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 205399040 is about 14331.7493698432. The cubic root of 205399040 is about 590.0191892638.

The spelling of 205399040 in words is "two hundred five million, three hundred ninety-nine thousand, forty".