205415520 has 48 divisors (see below), whose sum is σ = 647060400. Its totient is φ = 54777344.

The previous prime is 205415491. The next prime is 205415531. The reversal of 205415520 is 25514502.

It is a happy number.

205415520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213495 + ... + 214454.

It is an arithmetic number, because the mean of its divisors is an integer number (13480425).

Almost surely, 2^205415520 is an apocalyptic number.

205415520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205415520 is an abundant number, since it is smaller than the sum of its proper divisors (441644880).

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

205415520 is a wasteful number, since it uses less digits than its factorization.

205415520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427967 (or 427959 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 205415520 is about 14332.3243055689. The cubic root of 205415520 is about 590.0349687212.

The spelling of 205415520 in words is "two hundred five million, four hundred fifteen thousand, five hundred twenty".