352801080 has 192 divisors, whose sum is σ = 1199128320. Its totient is φ = 89856000.

The previous prime is 352801021. The next prime is 352801091. The reversal of 352801080 is 80108253.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1127004 + ... + 1127316.

It is an arithmetic number, because the mean of its divisors is an integer number (6245460).

Almost surely, 2^352801080 is an apocalyptic number.

352801080 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 352801080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599564160).

352801080 is an abundant number, since it is smaller than the sum of its proper divisors (846327240).

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

352801080 is a wasteful number, since it uses less digits than its factorization.

352801080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 352801080 is about 18782.9997604217. Note that the first 3 decimals coincide. The cubic root of 352801080 is about 706.6048846347.

The spelling of 352801080 in words is "three hundred fifty-two million, eight hundred one thousand, eighty".