350400414 has 64 divisors (see below), whose sum is σ = 865105920. Its totient is φ = 92136960.

The previous prime is 350400389. The next prime is 350400433. The reversal of 350400414 is 414004053.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234582 + ... + 236070.

It is an arithmetic number, because the mean of its divisors is an integer number (13517280).

Almost surely, 2^350400414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350400414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432552960).

350400414 is an abundant number, since it is smaller than the sum of its proper divisors (514705506).

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

350400414 is a wasteful number, since it uses less digits than its factorization.

350400414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 350400414 is about 18718.9853891711. The cubic root of 350400414 is about 704.9985171741.

Adding to 350400414 its reverse (414004053), we get a palindrome (764404467).

The spelling of 350400414 in words is "three hundred fifty million, four hundred thousand, four hundred fourteen".