354400400 has 120 divisors (see below), whose sum is σ = 883235880. Its totient is φ = 136581120.

The previous prime is 354400379. The next prime is 354400421. The reversal of 354400400 is 4004453.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (354400379) and next prime (354400421).

It can be written as a sum of positive squares in 12 ways, for example, as 5607424 + 348792976 = 2368^2 + 18676^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1547486 + ... + 1547714.

It is an arithmetic number, because the mean of its divisors is an integer number (7360299).

Almost surely, 2^354400400 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 354400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441617940).

354400400 is an abundant number, since it is smaller than the sum of its proper divisors (528835480).

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

354400400 is a wasteful number, since it uses less digits than its factorization.

354400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 354400400 is about 18825.5252250767. The cubic root of 354400400 is about 707.6710037938.

Adding to 354400400 its reverse (4004453), we get a palindrome (358404853).

The spelling of 354400400 in words is "three hundred fifty-four million, four hundred thousand, four hundred".