352419840 has 192 divisors, whose sum is σ = 1226815200. Its totient is φ = 93585408.

The previous prime is 352419829. The next prime is 352419863. The reversal of 352419840 is 48914253.

352419840 is a `hidden beast` number, since 3 + 524 + 1 + 98 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 352419795 and 352419804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1474441 + ... + 1474679.

Almost surely, 2^352419840 is an apocalyptic number.

352419840 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 352419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613407600).

352419840 is an abundant number, since it is smaller than the sum of its proper divisors (874395360).

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

352419840 is an equidigital number, since it uses as much as digits as its factorization.

352419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 352419840 is about 18772.8484785874. The cubic root of 352419840 is about 706.3502717159.

The spelling of 352419840 in words is "three hundred fifty-two million, four hundred nineteen thousand, eight hundred forty".