205413948 has 24 divisors (see below), whose sum is σ = 532554960. Its totient is φ = 68471280.

The previous prime is 205413947. The next prime is 205413979. The reversal of 205413948 is 849314502.

205413948 is a `hidden beast` number, since 20 + 541 + 3 + 94 + 8 = 666.

205413948 is nontrivially palindromic in base 16.

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 (205413947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 950883 + ... + 951098.

It is an arithmetic number, because the mean of its divisors is an integer number (22189790).

Almost surely, 2^205413948 is an apocalyptic number.

It is an amenable number.

205413948 is an abundant number, since it is smaller than the sum of its proper divisors (327141012).

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

205413948 is a wasteful number, since it uses less digits than its factorization.

205413948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901994 (or 1901986 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 205413948 is about 14332.2694643940. The cubic root of 205413948 is about 590.0334635812.

The spelling of 205413948 in words is "two hundred five million, four hundred thirteen thousand, nine hundred forty-eight".