354241440 has 288 divisors, whose sum is σ = 1398249216. Its totient is φ = 79994880.

The previous prime is 354241403. The next prime is 354241471. The reversal of 354241440 is 44142453.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×354241440³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 1138885 + ... + 1139195.

It is an arithmetic number, because the mean of its divisors is an integer number (4855032).

Almost surely, 2^354241440 is an apocalyptic number.

354241440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699124608).

354241440 is an abundant number, since it is smaller than the sum of its proper divisors (1044007776).

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

354241440 is a wasteful number, since it uses less digits than its factorization.

354241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 441 counting only the distinct ones).

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

The square root of 354241440 is about 18821.3028241937. The cubic root of 354241440 is about 707.5651835543.

Adding to 354241440 its reverse (44142453), we get a palindrome (398383893).

It can be divided in two parts, 35424 and 1440, that added together give a square (36864 = 192²).

The spelling of 354241440 in words is "three hundred fifty-four million, two hundred forty-one thousand, four hundred forty".