377416 has 32 divisors (see below), whose sum is σ = 806400. Its totient is φ = 164160.

The previous prime is 377393. The next prime is 377459. The reversal of 377416 is 614773.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1881 + ... + 2071.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2³⁷⁷⁴¹⁶ 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 377416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403200).

377416 is an abundant number, since it is smaller than the sum of its proper divisors (428984).

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

377416 is a wasteful number, since it uses less digits than its factorization.

377416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

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

The square root of 377416 is about 614.3419243386. The cubic root of 377416 is about 72.2670126722.

The spelling of 377416 in words is "three hundred seventy-seven thousand, four hundred sixteen".