350259840 has 576 divisors, whose sum is σ = 1510128360. Its totient is φ = 74317824.

The previous prime is 350259773. The next prime is 350259863. The reversal of 350259840 is 48952053.

It can be written as a sum of positive squares in 4 ways, for example, as 323136576 + 27123264 = 17976^2 + 5208^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 350259795 and 350259804.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4798044 + ... + 4798116.

Almost surely, 2^350259840 is an apocalyptic number.

350259840 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 350259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755064180).

350259840 is an abundant number, since it is smaller than the sum of its proper divisors (1159868520).

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

350259840 is a wasteful number, since it uses less digits than its factorization.

350259840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 350259840 is about 18715.2301615556. The cubic root of 350259840 is about 704.9042272194.

The spelling of 350259840 in words is "three hundred fifty million, two hundred fifty-nine thousand, eight hundred forty".