359979840 has 252 divisors, whose sum is σ = 1362292932. Its totient is φ = 87183360.

The previous prime is 359979799. The next prime is 359979847. The reversal of 359979840 is 48979953.

359979840 is a `hidden beast` number, since 3 + 599 + 7 + 9 + 8 + 40 = 666.

359979840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 259338816 + 100641024 = 16104^2 + 10032^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359979847) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 347964 + ... + 348996.

Almost surely, 2^359979840 is an apocalyptic number.

359979840 is a gapful number since it is divisible by the number (30) 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 359979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681146466).

359979840 is an abundant number, since it is smaller than the sum of its proper divisors (1002313092).

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

359979840 is a wasteful number, since it uses less digits than its factorization.

359979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 359979840 is about 18973.1346909255. The cubic root of 359979840 is about 711.3653815818.

The spelling of 359979840 in words is "three hundred fifty-nine million, nine hundred seventy-nine thousand, eight hundred forty".