354960320 has 112 divisors (see below), whose sum is σ = 993148128. Its totient is φ = 119132160.

The previous prime is 354960293. The next prime is 354960349. The reversal of 354960320 is 23069453.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 41882 + ... + 49638.

It is an arithmetic number, because the mean of its divisors is an integer number (8867394).

Almost surely, 2^354960320 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 354960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496574064).

354960320 is an abundant number, since it is smaller than the sum of its proper divisors (638187808).

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

354960320 is a wasteful number, since it uses less digits than its factorization.

354960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7798 (or 7788 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The square root of 354960320 is about 18840.3906541239. The cubic root of 354960320 is about 708.0434927052.

The spelling of 354960320 in words is "three hundred fifty-four million, nine hundred sixty thousand, three hundred twenty".