352446048 has 144 divisors (see below), whose sum is σ = 1091890800. Its totient is φ = 107412480.

The previous prime is 352446041. The next prime is 352446049. The reversal of 352446048 is 840644253.

352446048 is a `hidden beast` number, since 3 + 5 + 2 + 44 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (352446041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157578 + ... + 159798.

It is an arithmetic number, because the mean of its divisors is an integer number (7582575).

Almost surely, 2^352446048 is an apocalyptic number.

352446048 is a gapful number since it is divisible by the number (38) 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 352446048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545945400).

352446048 is an abundant number, since it is smaller than the sum of its proper divisors (739444752).

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

352446048 is a wasteful number, since it uses less digits than its factorization.

352446048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 352446048 is about 18773.5464950019. The cubic root of 352446048 is about 706.3677807274.

The spelling of 352446048 in words is "three hundred fifty-two million, four hundred forty-six thousand, forty-eight".