205487040 has 336 divisors, whose sum is σ = 754014240. Its totient is φ = 47308800.

The previous prime is 205487017. The next prime is 205487047. The reversal of 205487040 is 40784502.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 205486989 and 205487007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205487047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3368610 + ... + 3368670.

It is an arithmetic number, because the mean of its divisors is an integer number (2244090).

Almost surely, 2^205487040 is an apocalyptic number.

205487040 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 205487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377007120).

205487040 is an abundant number, since it is smaller than the sum of its proper divisors (548527200).

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

205487040 is a wasteful number, since it uses less digits than its factorization.

205487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 205487040 is about 14334.8191477953. The cubic root of 205487040 is about 590.1034387251.

The spelling of 205487040 in words is "two hundred five million, four hundred eighty-seven thousand, forty".