1205379840 has 144 divisors (see below), whose sum is σ = 4399734528. Its totient is φ = 275509248.

The previous prime is 1205379839. The next prime is 1205379859. The reversal of 1205379840 is 489735021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4459 + ... + 49301.

It is an arithmetic number, because the mean of its divisors is an integer number (30553712).

Almost surely, 2^1205379840 is an apocalyptic number.

1205379840 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 1205379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199867264).

1205379840 is an abundant number, since it is smaller than the sum of its proper divisors (3194354688).

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

1205379840 is an equidigital number, since it uses as much as digits as its factorization.

1205379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44874 (or 44860 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1205379840 is about 34718.5806161485. The cubic root of 1205379840 is about 1064.2442388791.

The spelling of 1205379840 in words is "one billion, two hundred five million, three hundred seventy-nine thousand, eight hundred forty".