352303840 has 192 divisors, whose sum is σ = 1002516480. Its totient is φ = 114462720.

The previous prime is 352303817. The next prime is 352303843. The reversal of 352303840 is 48303253.

352303840 = T₂₀₀ + T₂₀₁ + ... + T₁₂₈₄.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 352303799 and 352303808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352303843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2534491 + ... + 2534629.

It is an arithmetic number, because the mean of its divisors is an integer number (5221440).

Almost surely, 2^352303840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352303840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501258240).

352303840 is an abundant number, since it is smaller than the sum of its proper divisors (650212640).

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

352303840 is a wasteful number, since it uses less digits than its factorization.

352303840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 352303840 is about 18769.7586558805. The cubic root of 352303840 is about 706.2727641395.

The spelling of 352303840 in words is "three hundred fifty-two million, three hundred three thousand, eight hundred forty".