577973448 has 128 divisors (see below), whose sum is σ = 1776028800. Its totient is φ = 173000448.

The previous prime is 577973443. The next prime is 577973453. The reversal of 577973448 is 844379775.

It is an interprime number because it is at equal distance from previous prime (577973443) and next prime (577973453).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 577973394 and 577973403.

It is not an unprimeable number, because it can be changed into a prime (577973443) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 101115 + ... + 106677.

It is an arithmetic number, because the mean of its divisors is an integer number (13875225).

Almost surely, 2^577973448 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 577973448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888014400).

577973448 is an abundant number, since it is smaller than the sum of its proper divisors (1198055352).

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

577973448 is a wasteful number, since it uses less digits than its factorization.

577973448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628 (or 5618 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The square root of 577973448 is about 24041.0783451991. The cubic root of 577973448 is about 832.9826630527.

The spelling of 577973448 in words is "five hundred seventy-seven million, nine hundred seventy-three thousand, four hundred forty-eight".