359119040 has 168 divisors, whose sum is σ = 1023305040. Its totient is φ = 119605248.

The previous prime is 359119027. The next prime is 359119049. The reversal of 359119040 is 40911953.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 359118988 and 359119006.

It is not an unprimeable number, because it can be changed into a prime (359119049) 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, 579851 + ... + 580469.

Almost surely, 2^359119040 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 359119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511652520).

359119040 is an abundant number, since it is smaller than the sum of its proper divisors (664186000).

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

359119040 is a wasteful number, since it uses less digits than its factorization.

359119040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 359119040 is about 18950.4364065844. The cubic root of 359119040 is about 710.7979127132.

The spelling of 359119040 in words is "three hundred fifty-nine million, one hundred nineteen thousand, forty".