350464800 has 288 divisors, whose sum is σ = 1361912832. Its totient is φ = 76538880.

The previous prime is 350464787. The next prime is 350464811. The reversal of 350464800 is 8464053.

350464800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 385947 + ... + 386853.

It is an arithmetic number, because the mean of its divisors is an integer number (4728864).

Almost surely, 2^350464800 is an apocalyptic number.

350464800 is a gapful number since it is divisible by the number (30) 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 350464800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680956416).

350464800 is an abundant number, since it is smaller than the sum of its proper divisors (1011448032).

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

350464800 is a wasteful number, since it uses less digits than its factorization.

350464800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 350464800 is about 18720.7051149256. The cubic root of 350464800 is about 705.0416956377.

The spelling of 350464800 in words is "three hundred fifty million, four hundred sixty-four thousand, eight hundred".