577164852 has 144 divisors (see below), whose sum is σ = 1723018752. Its totient is φ = 167222880.

The previous prime is 577164821. The next prime is 577164853. The reversal of 577164852 is 258461775.

Its product of digits (470400) is a multiple of the sum of its prime factors (2400).

It is a junction number, because it is equal to n+sod(n) for n = 577164798 and 577164807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (577164853) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244743 + ... + 247089.

It is an arithmetic number, because the mean of its divisors is an integer number (11965408).

Almost surely, 2^577164852 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 577164852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861509376).

577164852 is an abundant number, since it is smaller than the sum of its proper divisors (1145853900).

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

577164852 is a wasteful number, since it uses less digits than its factorization.

577164852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2386 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 577164852 is about 24024.2554931469. The cubic root of 577164852 is about 832.5940288241.

The spelling of 577164852 in words is "five hundred seventy-seven million, one hundred sixty-four thousand, eight hundred fifty-two".