1205460 has 72 divisors (see below), whose sum is σ = 3776136. Its totient is φ = 311040.

The previous prime is 1205459. The next prime is 1205467. The reversal of 1205460 is 645021.

It is a happy number.

1205460 is a `hidden beast` number, since 1 + 205 + 460 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51984 + 1153476 = 228^2 + 1074^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6570 + ... + 6750.

2^1205460 is an apocalyptic number.

1205460 is a gapful number since it is divisible by the number (10) 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 1205460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888068).

1205460 is an abundant number, since it is smaller than the sum of its proper divisors (2570676).

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

1205460 is a wasteful number, since it uses less digits than its factorization.

1205460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1205460 is about 1097.9344242713. The cubic root of 1205460 is about 106.4267829763.

The spelling of 1205460 in words is "one million, two hundred five thousand, four hundred sixty".