350563950 has 288 divisors, whose sum is σ = 1108179072. Its totient is φ = 81648000.

The previous prime is 350563931. The next prime is 350563951. The reversal of 350563950 is 59365053.

350563950 is a `hidden beast` number, since 3 + 5 + 0 + 563 + 95 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350563951) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5746920 + ... + 5746980.

It is an arithmetic number, because the mean of its divisors is an integer number (3847844).

Almost surely, 2^350563950 is an apocalyptic number.

350563950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 350563950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554089536).

350563950 is an abundant number, since it is smaller than the sum of its proper divisors (757615122).

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

350563950 is a wasteful number, since it uses less digits than its factorization.

350563950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 36.

The square root of 350563950 is about 18723.3530650896. The cubic root of 350563950 is about 705.1081771530.

The spelling of 350563950 in words is "three hundred fifty million, five hundred sixty-three thousand, nine hundred fifty".