352247920 has 80 divisors (see below), whose sum is σ = 853740000. Its totient is φ = 134994944.

The previous prime is 352247899. The next prime is 352247941. The reversal of 352247920 is 29742253.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (352247899) and next prime (352247941).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345171 + ... + 346189.

It is an arithmetic number, because the mean of its divisors is an integer number (10671750).

Almost surely, 2^352247920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352247920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426870000).

352247920 is an abundant number, since it is smaller than the sum of its proper divisors (501492080).

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

352247920 is a wasteful number, since it uses less digits than its factorization.

352247920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 352247920 is about 18768.2689665297. The cubic root of 352247920 is about 706.2353940645.

The spelling of 352247920 in words is "three hundred fifty-two million, two hundred forty-seven thousand, nine hundred twenty".