359980992 has 336 divisors, whose sum is σ = 1284874240. Its totient is φ = 94058496.

The previous prime is 359980991. The next prime is 359981033. The reversal of 359980992 is 299089953.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359980991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2834433 + ... + 2834559.

Almost surely, 2^359980992 is an apocalyptic number.

359980992 is a gapful number since it is divisible by the number (32) 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 359980992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642437120).

359980992 is an abundant number, since it is smaller than the sum of its proper divisors (924893248).

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

359980992 is a wasteful number, since it uses less digits than its factorization.

359980992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The square root of 359980992 is about 18973.1650496168. The cubic root of 359980992 is about 711.3661404132.

The spelling of 359980992 in words is "three hundred fifty-nine million, nine hundred eighty thousand, nine hundred ninety-two".