354560 has 36 divisors (see below), whose sum is σ = 852348. Its totient is φ = 141312.

The previous prime is 354553. The next prime is 354581. The reversal of 354560 is 65453.

It can be written as a sum of positive squares in 2 ways, for example, as 92416 + 262144 = 304^2 + 512^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1142 + ... + 1418.

2³⁵⁴⁵⁶⁰ 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 354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426174).

354560 is an abundant number, since it is smaller than the sum of its proper divisors (497788).

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

354560 is an equidigital number, since it uses as much as digits as its factorization.

354560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 354560 is about 595.4494101097. The cubic root of 354560 is about 70.7777218254. Note that the first 4 decimals are identical.

The spelling of 354560 in words is "three hundred fifty-four thousand, five hundred sixty".