350406144 has 240 divisors, whose sum is σ = 1143926784. Its totient is φ = 102297600.

The previous prime is 350406109. The next prime is 350406149. The reversal of 350406144 is 441604053.

350406144 is a `hidden beast` number, since 3 + 5 + 0 + 40 + 614 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350406149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1571217 + ... + 1571439.

Almost surely, 2^350406144 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 350406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571963392).

350406144 is an abundant number, since it is smaller than the sum of its proper divisors (793520640).

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

350406144 is a wasteful number, since it uses less digits than its factorization.

350406144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 350406144 is about 18719.1384417125. The cubic root of 350406144 is about 705.0023600344.

The spelling of 350406144 in words is "three hundred fifty million, four hundred six thousand, one hundred forty-four".