354800 has 30 divisors (see below), whose sum is σ = 853368. Its totient is φ = 141760.

The previous prime is 354799. The next prime is 354829. The reversal of 354800 is 8453.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 354800.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44 + ... + 843.

2³⁵⁴⁸⁰⁰ 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 354800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426684).

354800 is an abundant number, since it is smaller than the sum of its proper divisors (498568).

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

354800 is a wasteful number, since it uses less digits than its factorization.

354800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 354800 is about 595.6509044734. The cubic root of 354800 is about 70.7936879261.

The spelling of 354800 in words is "three hundred fifty-four thousand, eight hundred".