359412144 has 160 divisors (see below), whose sum is σ = 1154926080. Its totient is φ = 93782016.

The previous prime is 359412139. The next prime is 359412173. The reversal of 359412144 is 441214953.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466992 + ... + 467760.

It is an arithmetic number, because the mean of its divisors is an integer number (7218288).

Almost surely, 2^359412144 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 359412144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577463040).

359412144 is an abundant number, since it is smaller than the sum of its proper divisors (795513936).

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

359412144 is a wasteful number, since it uses less digits than its factorization.

359412144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 901 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 359412144 is about 18958.1682659481. The cubic root of 359412144 is about 710.9912386339.

The spelling of 359412144 in words is "three hundred fifty-nine million, four hundred twelve thousand, one hundred forty-four".