352946160 has 400 divisors, whose sum is σ = 1451907072. Its totient is φ = 77760000.

The previous prime is 352946131. The next prime is 352946161. The reversal of 352946160 is 61649253.

It is a happy number.

352946160 is a `hidden beast` number, since 35 + 2 + 9 + 4 + 616 + 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 (352946161) 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 79 ways as a sum of consecutive naturals, for example, 1406035 + ... + 1406285.

Almost surely, 2^352946160 is an apocalyptic number.

352946160 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 352946160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725953536).

352946160 is an abundant number, since it is smaller than the sum of its proper divisors (1098960912).

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

352946160 is a wasteful number, since it uses less digits than its factorization.

352946160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 352946160 is about 18786.8613663911. The cubic root of 352946160 is about 706.7017288090.

The spelling of 352946160 in words is "three hundred fifty-two million, nine hundred forty-six thousand, one hundred sixty".