1205405000 has 60 divisors (see below), whose sum is σ = 2830027695. Its totient is φ = 481180000.

The previous prime is 1205404997. The next prime is 1205405051. The reversal of 1205405000 is 5045021.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 278689636 + 926715364 = 16694^2 + 30442^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=24550.

It is a self number, because there is not a number n which added to its sum of digits gives 1205405000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2454755 + ... + 2455245.

Almost surely, 2^1205405000 is an apocalyptic number.

1205405000 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 1205405000

1205405000 is an abundant number, since it is smaller than the sum of its proper divisors (1624622695).

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

1205405000 is an frugal number, since it uses more digits than its factorization.

1205405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 1205405000 is about 34718.9429562595. The cubic root of 1205405000 is about 1064.2516435156.

Multiplying 1205405000 by its product of nonzero digits (200), we get a square (241081000000 = 491000²).

1205405000 divided by its product of nonzero digits (200) gives a square (6027025 = 2455²).

The spelling of 1205405000 in words is "one billion, two hundred five million, four hundred five thousand".