354544400 has 90 divisors (see below), whose sum is σ = 990915930. Its totient is φ = 121551360.

The previous prime is 354544339. The next prime is 354544403. The reversal of 354544400 is 4445453.

It can be written as a sum of positive squares in 3 ways, for example, as 79780624 + 274763776 = 8932^2 + 16576^2 .

It is not an unprimeable number, because it can be changed into a prime (354544403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10556 + ... + 28644.

It is an arithmetic number, because the mean of its divisors is an integer number (11010177).

Almost surely, 2^354544400 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 354544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495457965).

354544400 is an abundant number, since it is smaller than the sum of its proper divisors (636371530).

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

354544400 is a wasteful number, since it uses less digits than its factorization.

354544400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18121 (or 18103 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

The square root of 354544400 is about 18829.3494311407. The cubic root of 354544400 is about 707.7668377955.

Adding to 354544400 its reverse (4445453), we get a palindrome (358989853).

The spelling of 354544400 in words is "three hundred fifty-four million, five hundred forty-four thousand, four hundred".