353640420 has 144 divisors (see below), whose sum is σ = 1230622848. Its totient is φ = 80524800.

The previous prime is 353640379. The next prime is 353640437. The reversal of 353640420 is 24046353.

353640420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 588120 + ... + 588720.

It is an arithmetic number, because the mean of its divisors is an integer number (8545992).

Almost surely, 2^353640420 is an apocalyptic number.

353640420 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 353640420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615311424).

353640420 is an abundant number, since it is smaller than the sum of its proper divisors (876982428).

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

353640420 is a wasteful number, since it uses less digits than its factorization.

353640420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 353640420 is about 18805.3295637168. The cubic root of 353640420 is about 707.1647960311.

Adding to 353640420 its reverse (24046353), we get a palindrome (377686773).

It can be divided in two parts, 3536 and 40420, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 353640420 in words is "three hundred fifty-three million, six hundred forty thousand, four hundred twenty".