354201444 has 96 divisors (see below), whose sum is σ = 951471360. Its totient is φ = 113861376.

The previous prime is 354201437. The next prime is 354201451. The reversal of 354201444 is 444102453.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (354201437) and next prime (354201451).

It is a super-3 number, since 3×354201444³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547129 + ... + 547775.

It is an arithmetic number, because the mean of its divisors is an integer number (9911160).

Almost surely, 2^354201444 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 354201444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475735680).

354201444 is an abundant number, since it is smaller than the sum of its proper divisors (597269916).

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

354201444 is a wasteful number, since it uses less digits than its factorization.

354201444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 354201444 is about 18820.2402747680. The cubic root of 354201444 is about 707.5385530898.

Adding to 354201444 its reverse (444102453), we get a palindrome (798303897).

It can be divided in two parts, 35420 and 1444, that added together give a square (36864 = 192²).

The spelling of 354201444 in words is "three hundred fifty-four million, two hundred one thousand, four hundred forty-four".