354204448 has 48 divisors (see below), whose sum is σ = 754311096. Its totient is φ = 162754560.

The previous prime is 354204427. The next prime is 354204457. The reversal of 354204448 is 844402453.

It can be written as a sum of positive squares in 4 ways, for example, as 326452624 + 27751824 = 18068^2 + 5268^2 .

It is a super-3 number, since 3×354204448³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98490 + ... + 102022.

Almost surely, 2^354204448 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 354204448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377155548).

354204448 is an abundant number, since it is smaller than the sum of its proper divisors (400106648).

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

354204448 is a wasteful number, since it uses less digits than its factorization.

354204448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

The square root of 354204448 is about 18820.3200822940. The cubic root of 354204448 is about 707.5405533073.

The spelling of 354204448 in words is "three hundred fifty-four million, two hundred four thousand, four hundred forty-eight".