1205417488 has 120 divisors (see below), whose sum is σ = 2710514016. Its totient is φ = 519196480.

The previous prime is 1205417483. The next prime is 1205417503. The reversal of 1205417488 is 8847145021.

It is a self number, because there is not a number n which added to its sum of digits gives 1205417488.

It is not an unprimeable number, because it can be changed into a prime (1205417483) 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, 11265531 + ... + 11265637.

Almost surely, 2^1205417488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1205417488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355257008).

1205417488 is an abundant number, since it is smaller than the sum of its proper divisors (1505096528).

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

1205417488 is a wasteful number, since it uses less digits than its factorization.

1205417488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 1205417488 is about 34719.1227999787. The cubic root of 1205417488 is about 1064.2553187198.

The spelling of 1205417488 in words is "one billion, two hundred five million, four hundred seventeen thousand, four hundred eighty-eight".