354416 has 20 divisors (see below), whose sum is σ = 727632. Its totient is φ = 166656.

The previous prime is 354401. The next prime is 354421. The reversal of 354416 is 614453.

It is a happy number.

It is a super-2 number, since 2×354416² = 251221402112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 354391 and 354400.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 354416.

It is an unprimeable number.

354416 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, 380 + ... + 923.

2³⁵⁴⁴¹⁶ is an apocalyptic number.

It is an amenable number.

354416 is an abundant number, since it is smaller than the sum of its proper divisors (373216).

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

354416 is a wasteful number, since it uses less digits than its factorization.

354416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1322 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 354416 is about 595.3284807566. The cubic root of 354416 is about 70.7681387064.

Adding to 354416 its reverse (614453), we get a palindrome (968869).

The spelling of 354416 in words is "three hundred fifty-four thousand, four hundred sixteen".