352480790480 has 960 divisors, whose sum is σ = 1128527769600. Its totient is φ = 101165137920.

The previous prime is 352480790447. The next prime is 352480790483. The reversal of 352480790480 is 84097084253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352480790483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3233768666 + ... + 3233768774.

It is an arithmetic number, because the mean of its divisors is an integer number (1175549760).

Almost surely, 2^352480790480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352480790480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564263884800).

352480790480 is an abundant number, since it is smaller than the sum of its proper divisors (776046979120).

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

352480790480 is a wasteful number, since it uses less digits than its factorization.

352480790480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 352480790480 in words is "three hundred fifty-two billion, four hundred eighty million, seven hundred ninety thousand, four hundred eighty".