350439040 has 256 divisors, whose sum is σ = 1057536000. Its totient is φ = 108269568.

The previous prime is 350439029. The next prime is 350439049. The reversal of 350439040 is 40934053.

It is a super-2 number, since 2×350439040² = 245615041512243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350439049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1957671 + ... + 1957849.

It is an arithmetic number, because the mean of its divisors is an integer number (4131000).

Almost surely, 2^350439040 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 350439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528768000).

350439040 is an abundant number, since it is smaller than the sum of its proper divisors (707096960).

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

350439040 is a wasteful number, since it uses less digits than its factorization.

350439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 350439040 is about 18720.0170940093. The cubic root of 350439040 is about 705.0244211315.

The spelling of 350439040 in words is "three hundred fifty million, four hundred thirty-nine thousand, forty".