352432080 has 640 divisors, whose sum is σ = 1639895040. Its totient is φ = 67184640.

The previous prime is 352432063. The next prime is 352432081. The reversal of 352432080 is 80234253.

It is a super-4 number, since 4×352432080⁴ (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352432081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2162079 + ... + 2162241.

It is an arithmetic number, because the mean of its divisors is an integer number (2562336).

Almost surely, 2^352432080 is an apocalyptic number.

352432080 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 352432080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819947520).

352432080 is an abundant number, since it is smaller than the sum of its proper divisors (1287462960).

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

352432080 is a wasteful number, since it uses less digits than its factorization.

352432080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 352432080 is about 18773.1744784946. The cubic root of 352432080 is about 706.3584491095.

It can be divided in two parts, 35 and 2432080, that added together give a triangular number (2432115 = T₂₂₀₅).

The spelling of 352432080 in words is "three hundred fifty-two million, four hundred thirty-two thousand, eighty".