354441420 has 120 divisors (see below), whose sum is σ = 1116942288. Its totient is φ = 94089600.

The previous prime is 354441419. The next prime is 354441469. The reversal of 354441420 is 24144453.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 535890 + ... + 536550.

Almost surely, 2^354441420 is an apocalyptic number.

354441420 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 354441420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558471144).

354441420 is an abundant number, since it is smaller than the sum of its proper divisors (762500868).

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

354441420 is a wasteful number, since it uses less digits than its factorization.

354441420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1002 counting only the distinct ones).

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

The square root of 354441420 is about 18826.6146717884. The cubic root of 354441420 is about 707.6983058178.

Adding to 354441420 its reverse (24144453), we get a palindrome (378585873).

It can be divided in two parts, 35444 and 1420, that added together give a square (36864 = 192²).

The spelling of 354441420 in words is "three hundred fifty-four million, four hundred forty-one thousand, four hundred twenty".