355420720 has 80 divisors (see below), whose sum is σ = 846508320. Its totient is φ = 138739712.

The previous prime is 355420711. The next prime is 355420733. The reversal of 355420720 is 27024553.

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

It is an unprimeable number.

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, 1212894 + ... + 1213186.

It is an arithmetic number, because the mean of its divisors is an integer number (10581354).

Almost surely, 2^355420720 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 355420720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423254160).

355420720 is an abundant number, since it is smaller than the sum of its proper divisors (491087600).

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

355420720 is a wasteful number, since it uses less digits than its factorization.

355420720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 355420720 is about 18852.6051250218. The cubic root of 355420720 is about 708.3494822001.

The spelling of 355420720 in words is "three hundred fifty-five million, four hundred twenty thousand, seven hundred twenty".