205461464 has 32 divisors (see below), whose sum is σ = 417690000. Its totient is φ = 94184832.

The previous prime is 205461449. The next prime is 205461469. The reversal of 205461464 is 464164502.

It is a self number, because there is not a number n which added to its sum of digits gives 205461464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205461469) 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, 8867 + ... + 22125.

Almost surely, 2^205461464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205461464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208845000).

205461464 is an abundant number, since it is smaller than the sum of its proper divisors (212228536).

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

205461464 is a wasteful number, since it uses less digits than its factorization.

205461464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13427 (or 13423 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 205461464 is about 14333.9270264642. The cubic root of 205461464 is about 590.0789552480.

The spelling of 205461464 in words is "two hundred five million, four hundred sixty-one thousand, four hundred sixty-four".