351666480 has 160 divisors (see below), whose sum is σ = 1227921408. Its totient is φ = 82483200.

The previous prime is 351666461. The next prime is 351666493. The reversal of 351666480 is 84666153.

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 31 ways as a sum of consecutive naturals, for example, 79692 + ... + 83988.

Almost surely, 2^351666480 is an apocalyptic number.

351666480 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 351666480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613960704).

351666480 is an abundant number, since it is smaller than the sum of its proper divisors (876254928).

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

351666480 is a wasteful number, since it uses less digits than its factorization.

351666480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4355 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 351666480 is about 18752.7725950058. The cubic root of 351666480 is about 705.8465962607.

It can be divided in two parts, 3516 and 66480, that added together give a palindrome (69996).

The spelling of 351666480 in words is "three hundred fifty-one million, six hundred sixty-six thousand, four hundred eighty".