359144456 has 48 divisors (see below), whose sum is σ = 742618800. Its totient is φ = 162710240.

The previous prime is 359144453. The next prime is 359144477. The reversal of 359144456 is 654441953.

359144456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (359144453) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 544655 + ... + 545313.

It is an arithmetic number, because the mean of its divisors is an integer number (15471225).

Almost surely, 2^359144456 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 359144456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371309400).

359144456 is an abundant number, since it is smaller than the sum of its proper divisors (383474344).

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

359144456 is a wasteful number, since it uses less digits than its factorization.

359144456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1235 counting only the distinct ones).

The product of its digits is 259200, while the sum is 41.

The square root of 359144456 is about 18951.1069861367. The cubic root of 359144456 is about 710.8146807962.

The spelling of 359144456 in words is "three hundred fifty-nine million, one hundred forty-four thousand, four hundred fifty-six".