1205525460 has 96 divisors (see below), whose sum is σ = 3468108672. Its totient is φ = 312698880.

The previous prime is 1205525459. The next prime is 1205525467. The reversal of 1205525460 is 645255021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205525467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1286112 + ... + 1287048.

It is an arithmetic number, because the mean of its divisors is an integer number (36126132).

Almost surely, 2^1205525460 is an apocalyptic number.

1205525460 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 1205525460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734054336).

1205525460 is an abundant number, since it is smaller than the sum of its proper divisors (2262583212).

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

1205525460 is a wasteful number, since it uses less digits than its factorization.

1205525460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 1205525460 is about 34720.6777007592. The cubic root of 1205525460 is about 1064.2870936984.

The spelling of 1205525460 in words is "one billion, two hundred five million, five hundred twenty-five thousand, four hundred sixty".