351384480 has 240 divisors, whose sum is σ = 1306277280. Its totient is φ = 88708608.

The previous prime is 351384457. The next prime is 351384487. The reversal of 351384480 is 84483153.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (351384487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 245527 + ... + 246953.

It is an arithmetic number, because the mean of its divisors is an integer number (5442822).

Almost surely, 2^351384480 is an apocalyptic number.

351384480 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 351384480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653138640).

351384480 is an abundant number, since it is smaller than the sum of its proper divisors (954892800).

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

351384480 is a wasteful number, since it uses less digits than its factorization.

351384480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 351384480 is about 18745.2521988903. The cubic root of 351384480 is about 705.6578739147.

The spelling of 351384480 in words is "three hundred fifty-one million, three hundred eighty-four thousand, four hundred eighty".