358416 has 60 divisors (see below), whose sum is σ = 1063920. Its totient is φ = 112320.

The previous prime is 358373. The next prime is 358417. The reversal of 358416 is 614853.

It is a self number, because there is not a number n which added to its sum of digits gives 358416.

It is not an unprimeable number, because it can be changed into a prime (358417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2671 + ... + 2801.

It is an arithmetic number, because the mean of its divisors is an integer number (17732).

2³⁵⁸⁴¹⁶ is an apocalyptic number.

358416 is a gapful number since it is divisible by the number (36) 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 358416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531960).

358416 is an abundant number, since it is smaller than the sum of its proper divisors (705504).

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

358416 is a wasteful number, since it uses less digits than its factorization.

358416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 155 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 358416 is about 598.6785447968. The cubic root of 358416 is about 71.0333771523.

It can be divided in two parts, 3584 and 16, that added together give a square (3600 = 60²).

The spelling of 358416 in words is "three hundred fifty-eight thousand, four hundred sixteen".