354030400 has 84 divisors (see below), whose sum is σ = 874880140. Its totient is φ = 141004800.

The previous prime is 354030373. The next prime is 354030409. The reversal of 354030400 is 4030453.

It can be written as a sum of positive squares in 6 ways, for example, as 891136 + 353139264 = 944^2 + 18792^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354030409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 654130 + ... + 654670.

Almost surely, 2^354030400 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 354030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437440070).

354030400 is an abundant number, since it is smaller than the sum of its proper divisors (520849740).

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

354030400 is a wasteful number, since it uses less digits than its factorization.

354030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 957 counting only the distinct ones).

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

The square root of 354030400 is about 18815.6955757687. The cubic root of 354030400 is about 707.4246445482.

Adding to 354030400 its reverse (4030453), we get a palindrome (358060853).

The spelling of 354030400 in words is "three hundred fifty-four million, thirty thousand, four hundred".