577944 has 48 divisors (see below), whose sum is σ = 1638000. Its totient is φ = 183744.

The previous prime is 577939. The next prime is 577957. The reversal of 577944 is 449775.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 577899 and 577908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1482 + ... + 1830.

It is an arithmetic number, because the mean of its divisors is an integer number (34125).

2⁵⁷⁷⁹⁴⁴ 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 577944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819000).

577944 is an abundant number, since it is smaller than the sum of its proper divisors (1060056).

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

577944 is a wasteful number, since it uses less digits than its factorization.

577944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 377 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 577944 is about 760.2262821029. The cubic root of 577944 is about 83.2968515869.

It can be divided in two parts, 577 and 944, that added together give a square (1521 = 39²).

The spelling of 577944 in words is "five hundred seventy-seven thousand, nine hundred forty-four".