352416 has 24 divisors (see below), whose sum is σ = 925344. Its totient is φ = 117440.

The previous prime is 352411. The next prime is 352421. The reversal of 352416 is 614253.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (352411) and next prime (352421).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×352416³ = 131307069033381888, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 352392 and 352401.

It is not an unprimeable number, because it can be changed into a prime (352411) by changing a digit.

352416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1740 + ... + 1931.

It is an arithmetic number, because the mean of its divisors is an integer number (38556).

2³⁵²⁴¹⁶ is an apocalyptic number.

It is an amenable number.

352416 is an abundant number, since it is smaller than the sum of its proper divisors (572928).

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

352416 is a wasteful number, since it uses less digits than its factorization.

352416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3684 (or 3676 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 352416 is about 593.6463593757. The cubic root of 352416 is about 70.6347706220.

Adding to 352416 its reverse (614253), we get a palindrome (966669).

The spelling of 352416 in words is "three hundred fifty-two thousand, four hundred sixteen".