351480 has 64 divisors (see below), whose sum is σ = 1101600. Its totient is φ = 89600.

The previous prime is 351479. The next prime is 351497. The reversal of 351480 is 84153.

It is a zygodrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 351480.

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 15 ways as a sum of consecutive naturals, for example, 3430 + ... + 3530.

2³⁵¹⁴⁸⁰ is an apocalyptic number.

351480 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 351480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550800).

351480 is an abundant number, since it is smaller than the sum of its proper divisors (750120).

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

351480 is a wasteful number, since it uses less digits than its factorization.

351480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 351480 is about 592.8574870911. The cubic root of 351480 is about 70.5721809895.

The spelling of 351480 in words is "three hundred fifty-one thousand, four hundred eighty".