353400 has 96 divisors (see below), whose sum is σ = 1190400. Its totient is φ = 86400.

The previous prime is 353389. The next prime is 353401. The reversal of 353400 is 4353.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 353400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11385 + ... + 11415.

It is an arithmetic number, because the mean of its divisors is an integer number (12400).

2³⁵³⁴⁰⁰ is an apocalyptic number.

353400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595200).

353400 is an abundant number, since it is smaller than the sum of its proper divisors (837000).

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

353400 is a wasteful number, since it uses less digits than its factorization.

353400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 353400 is about 594.4745579081. The cubic root of 353400 is about 70.7004505999.

Subtracting from 353400 its product of nonzero digits (180), we obtain a triangular number (353220 = T₈₄₀).

Adding to 353400 its reverse (4353), we get a palindrome (357753).

The spelling of 353400 in words is "three hundred fifty-three thousand, four hundred".