577883040 has 384 divisors, whose sum is σ = 2250436608. Its totient is φ = 121651200.

The previous prime is 577883003. The next prime is 577883083. The reversal of 577883040 is 40388775.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 577882983 and 577883001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3826965 + ... + 3827115.

It is an arithmetic number, because the mean of its divisors is an integer number (5860512).

Almost surely, 2^577883040 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 577883040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125218304).

577883040 is an abundant number, since it is smaller than the sum of its proper divisors (1672553568).

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

577883040 is a wasteful number, since it uses less digits than its factorization.

577883040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 577883040 is about 24039.1979899497. The cubic root of 577883040 is about 832.9392284025.

The spelling of 577883040 in words is "five hundred seventy-seven million, eight hundred eighty-three thousand, forty".