354304000 has 120 divisors (see below), whose sum is σ = 889427448. Its totient is φ = 140902400.

The previous prime is 354303997. The next prime is 354304007. The reversal of 354304000 is 403453.

It can be written as a sum of positive squares in 4 ways, for example, as 262144 + 354041856 = 512^2 + 18816^2 .

It is not an unprimeable number, because it can be changed into a prime (354304007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2047914 + ... + 2048086.

Almost surely, 2^354304000 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 354304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444713724).

354304000 is an abundant number, since it is smaller than the sum of its proper divisors (535123448).

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

354304000 is an frugal number, since it uses more digits than its factorization.

354304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 354304000 is about 18822.9646974115. The cubic root of 354304000 is about 707.6068337466.

Adding to 354304000 its reverse (403453), we get a palindrome (354707453).

The spelling of 354304000 in words is "three hundred fifty-four million, three hundred four thousand".