351471120 has 720 divisors, whose sum is σ = 1579273920. Its totient is φ = 63866880.

The previous prime is 351471077. The next prime is 351471161. The reversal of 351471120 is 21174153.

351471120 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18498471 + ... + 18498489.

It is an arithmetic number, because the mean of its divisors is an integer number (2193436).

Almost surely, 2^351471120 is an apocalyptic number.

351471120 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 351471120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789636960).

351471120 is an abundant number, since it is smaller than the sum of its proper divisors (1227802800).

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

351471120 is a wasteful number, since it uses less digits than its factorization.

351471120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 351471120 is about 18747.5630416329. The cubic root of 351471120 is about 705.7158665860.

The spelling of 351471120 in words is "three hundred fifty-one million, four hundred seventy-one thousand, one hundred twenty".