353272320 has 320 divisors, whose sum is σ = 1325808000. Its totient is φ = 88915968.

The previous prime is 353272313. The next prime is 353272321. The reversal of 353272320 is 23272353.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353272321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1313146 + ... + 1313414.

It is an arithmetic number, because the mean of its divisors is an integer number (4143150).

Almost surely, 2^353272320 is an apocalyptic number.

353272320 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 353272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662904000).

353272320 is an abundant number, since it is smaller than the sum of its proper divisors (972535680).

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

353272320 is a wasteful number, since it uses less digits than its factorization.

353272320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 353272320 is about 18795.5398964754. The cubic root of 353272320 is about 706.9193511141.

The spelling of 353272320 in words is "three hundred fifty-three million, two hundred seventy-two thousand, three hundred twenty".