352276992 has 160 divisors (see below), whose sum is σ = 1104840000. Its totient is φ = 110444544.

The previous prime is 352276979. The next prime is 352276999. The reversal of 352276992 is 299672253.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (352276999) 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 15 ways as a sum of consecutive naturals, for example, 234259 + ... + 235757.

It is an arithmetic number, because the mean of its divisors is an integer number (6905250).

Almost surely, 2^352276992 is an apocalyptic number.

352276992 is a gapful number since it is divisible by the number (32) 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 352276992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552420000).

352276992 is an abundant number, since it is smaller than the sum of its proper divisors (752563008).

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

352276992 is a wasteful number, since it uses less digits than its factorization.

352276992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1521 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 352276992 is about 18769.0434492544. The cubic root of 352276992 is about 706.2548227201.

The spelling of 352276992 in words is "three hundred fifty-two million, two hundred seventy-six thousand, nine hundred ninety-two".