350533440 has 224 divisors, whose sum is σ = 1280160000. Its totient is φ = 90187776.

The previous prime is 350533439. The next prime is 350533453. The reversal of 350533440 is 44335053.

It is a happy number.

350533440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 249861 + ... + 251259.

It is an arithmetic number, because the mean of its divisors is an integer number (5715000).

Almost surely, 2^350533440 is an apocalyptic number.

350533440 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 350533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640080000).

350533440 is an abundant number, since it is smaller than the sum of its proper divisors (929626560).

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

350533440 is a wasteful number, since it uses less digits than its factorization.

350533440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 350533440 is about 18722.5382894521. The cubic root of 350533440 is about 705.0877210901.

Adding to 350533440 its reverse (44335053), we get a palindrome (394868493).

The spelling of 350533440 in words is "three hundred fifty million, five hundred thirty-three thousand, four hundred forty".