352810480 has 80 divisors (see below), whose sum is σ = 897692544. Its totient is φ = 127888640.

The previous prime is 352810477. The next prime is 352810499. The reversal of 352810480 is 84018253.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 516219 + ... + 516901.

Almost surely, 2^352810480 is an apocalyptic number.

352810480 is the 9392-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352810480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448846272).

352810480 is an abundant number, since it is smaller than the sum of its proper divisors (544882064).

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

352810480 is a wasteful number, since it uses less digits than its factorization.

352810480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 352810480 is about 18783.2499850266. The cubic root of 352810480 is about 706.6111601511.

The spelling of 352810480 in words is "three hundred fifty-two million, eight hundred ten thousand, four hundred eighty".