1205445540 has 96 divisors (see below), whose sum is σ = 3752211456. Its totient is φ = 287147520.

The previous prime is 1205445499. The next prime is 1205445541. The reversal of 1205445540 is 455445021.

1205445540 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1205445498 and 1205445507.

It is not an unprimeable number, because it can be changed into a prime (1205445541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 747 + ... + 49106.

It is an arithmetic number, because the mean of its divisors is an integer number (39085536).

Almost surely, 2^1205445540 is an apocalyptic number.

1205445540 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 1205445540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876105728).

1205445540 is an abundant number, since it is smaller than the sum of its proper divisors (2546765916).

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

1205445540 is a wasteful number, since it uses less digits than its factorization.

1205445540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49909 (or 49907 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 1205445540 is about 34719.5267824894. The cubic root of 1205445540 is about 1064.2635742990.

The spelling of 1205445540 in words is "one billion, two hundred five million, four hundred forty-five thousand, five hundred forty".