350281152 has 224 divisors, whose sum is σ = 1147023360. Its totient is φ = 104094720.

The previous prime is 350281123. The next prime is 350281153. The reversal of 350281152 is 251182053.

It is a happy number.

350281152 is a `hidden beast` number, since 3 + 502 + 8 + 1 + 152 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350281153) by changing a digit.

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, 696133 + ... + 696635.

It is an arithmetic number, because the mean of its divisors is an integer number (5120640).

Almost surely, 2^350281152 is an apocalyptic number.

350281152 is a gapful number since it is divisible by the number (32) 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 350281152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573511680).

350281152 is an abundant number, since it is smaller than the sum of its proper divisors (796742208).

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

350281152 is a wasteful number, since it uses less digits than its factorization.

350281152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 350281152 is about 18715.7995287404. The cubic root of 350281152 is about 704.9185238572.

Subtracting from 350281152 its reverse (251182053), we obtain a palindrome (99099099).

The spelling of 350281152 in words is "three hundred fifty million, two hundred eighty-one thousand, one hundred fifty-two".