352308420 has 96 divisors (see below), whose sum is σ = 1098787200. Its totient is φ = 93716352.

The previous prime is 352308419. The next prime is 352308421. The reversal of 352308420 is 24803253.

352308420 is a `hidden beast` number, since 3 + 5 + 230 + 8 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (352308419) and next prime (352308421).

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

It is not an unprimeable number, because it can be changed into a prime (352308421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424566 + ... + 425394.

It is an arithmetic number, because the mean of its divisors is an integer number (11445700).

Almost surely, 2^352308420 is an apocalyptic number.

352308420 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 352308420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549393600).

352308420 is an abundant number, since it is smaller than the sum of its proper divisors (746478780).

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

352308420 is a wasteful number, since it uses less digits than its factorization.

352308420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 352308420 is about 18769.8806602493. The cubic root of 352308420 is about 706.2758246750.

The spelling of 352308420 in words is "three hundred fifty-two million, three hundred eight thousand, four hundred twenty".