1205598240 has 576 divisors, whose sum is σ = 5230697472. Its totient is φ = 245606400.

The previous prime is 1205598227. The next prime is 1205598253. The reversal of 1205598240 is 428955021.

1205598240 is a `hidden beast` number, since 1 + 20 + 5 + 598 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1205598227) and next prime (1205598253).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1205598195 and 1205598204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9202975 + ... + 9203105.

It is an arithmetic number, because the mean of its divisors is an integer number (9081072).

Almost surely, 2^1205598240 is an apocalyptic number.

1205598240 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 1205598240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615348736).

1205598240 is an abundant number, since it is smaller than the sum of its proper divisors (4025099232).

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

1205598240 is a wasteful number, since it uses less digits than its factorization.

1205598240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1205598240 is about 34721.7257635619. The cubic root of 1205598240 is about 1064.3085109859.

The spelling of 1205598240 in words is "one billion, two hundred five million, five hundred ninety-eight thousand, two hundred forty".