352443960 has 480 divisors, whose sum is σ = 1390435200. Its totient is φ = 79833600.

The previous prime is 352443941. The next prime is 352443961. The reversal of 352443960 is 69344253.

352443960 is a `hidden beast` number, since 3 + 524 + 43 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352443961) 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 119 ways as a sum of consecutive naturals, for example, 11369145 + ... + 11369175.

It is an arithmetic number, because the mean of its divisors is an integer number (2896740).

Almost surely, 2^352443960 is an apocalyptic number.

352443960 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 352443960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695217600).

352443960 is an abundant number, since it is smaller than the sum of its proper divisors (1037991240).

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

352443960 is a wasteful number, since it uses less digits than its factorization.

352443960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 352443960 is about 18773.4908847556. The cubic root of 352443960 is about 706.3663858105.

It can be divided in two parts, 35244 and 3960, that added together give a square (39204 = 198²).

The spelling of 352443960 in words is "three hundred fifty-two million, four hundred forty-three thousand, nine hundred sixty".