354102400 has 96 divisors (see below), whose sum is σ = 880300800. Its totient is φ = 140743680.

The previous prime is 354102323. The next prime is 354102403. The reversal of 354102400 is 4201453.

It is not an unprimeable number, because it can be changed into a prime (354102403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 764569 + ... + 765031.

It is an arithmetic number, because the mean of its divisors is an integer number (9169800).

Almost surely, 2^354102400 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 354102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440150400).

354102400 is an abundant number, since it is smaller than the sum of its proper divisors (526198400).

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

354102400 is a wasteful number, since it uses less digits than its factorization.

354102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 354102400 is about 18817.6087747620. The cubic root of 354102400 is about 707.4725981721.

Adding to 354102400 its reverse (4201453), we get a palindrome (358303853).

The spelling of 354102400 in words is "three hundred fifty-four million, one hundred two thousand, four hundred".