205493904 has 240 divisors, whose sum is σ = 735381504. Its totient is φ = 52012800.

The previous prime is 205493903. The next prime is 205493923. The reversal of 205493904 is 409394502.

205493904 is a `hidden beast` number, since 20 + 549 + 3 + 90 + 4 = 666.

205493904 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×205493904² = 84455489162322432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205493903) 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, 476569 + ... + 476999.

Almost surely, 2^205493904 is an apocalyptic number.

205493904 is a gapful number since it is divisible by the number (24) 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 205493904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367690752).

205493904 is an abundant number, since it is smaller than the sum of its proper divisors (529887600).

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

205493904 is a wasteful number, since it uses less digits than its factorization.

205493904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 205493904 is about 14335.0585628382. The cubic root of 205493904 is about 590.1100091718.

The spelling of 205493904 in words is "two hundred five million, four hundred ninety-three thousand, nine hundred four".