354053800 has 72 divisors (see below), whose sum is σ = 836372250. Its totient is φ = 139380480.

The previous prime is 354053797. The next prime is 354053801. The reversal of 354053800 is 8350453.

354053800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 19236996 + 334816804 = 4386^2 + 18298^2 .

It is not an unprimeable number, because it can be changed into a prime (354053801) 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, 2376126 + ... + 2376274.

Almost surely, 2^354053800 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 354053800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418186125).

354053800 is an abundant number, since it is smaller than the sum of its proper divisors (482318450).

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

354053800 is a wasteful number, since it uses less digits than its factorization.

354053800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 354053800 is about 18816.3173867790. The cubic root of 354053800 is about 707.4402301891.

The spelling of 354053800 in words is "three hundred fifty-four million, fifty-three thousand, eight hundred".