354400 has 36 divisors (see below), whose sum is σ = 867132. Its totient is φ = 141440.

The previous prime is 354391. The next prime is 354401. The reversal of 354400 is 4453.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 579 + ... + 1021.

It is an arithmetic number, because the mean of its divisors is an integer number (24087).

2³⁵⁴⁴⁰⁰ 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 354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433566).

354400 is an abundant number, since it is smaller than the sum of its proper divisors (512732).

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

354400 is a wasteful number, since it uses less digits than its factorization.

354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 354400 is about 595.3150426455. The cubic root of 354400 is about 70.7670737552.

Adding to 354400 its reverse (4453), we get a palindrome (358853).

The spelling of 354400 in words is "three hundred fifty-four thousand, four hundred".