416377 has 4 divisors (see below), whose sum is σ = 448420. Its totient is φ = 384336.

The previous prime is 416359. The next prime is 416387. The reversal of 416377 is 773614.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 20736 + 395641 = 144^2 + 629^2 .

It is a cyclic number.

It is not a de Polignac number, because 416377 - 2⁷ = 416249 is a prime.

It is a super-2 number, since 2×416377² = 346739612258, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16002 + ... + 16027.

It is an arithmetic number, because the mean of its divisors is an integer number (112105).

2⁴¹⁶³⁷⁷ is an apocalyptic number.

It is an amenable number.

416377 is a deficient number, since it is larger than the sum of its proper divisors (32043).

416377 is a wasteful number, since it uses less digits than its factorization.

416377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32042.

The product of its digits is 3528, while the sum is 28.

The square root of 416377 is about 645.2728105228. The cubic root of 416377 is about 74.6727669159.

The spelling of 416377 in words is "four hundred sixteen thousand, three hundred seventy-seven".