577460940 has 96 divisors (see below), whose sum is σ = 1875546624. Its totient is φ = 130014720.

The previous prime is 577460929. The next prime is 577460957. The reversal of 577460940 is 49064775.

577460940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×577460940² = 666922274451367200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 = 577460892 and 577460901.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17880 + ... + 38400.

It is an arithmetic number, because the mean of its divisors is an integer number (19536944).

Almost surely, 2^577460940 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 577460940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937773312).

577460940 is an abundant number, since it is smaller than the sum of its proper divisors (1298085684).

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

577460940 is a wasteful number, since it uses less digits than its factorization.

577460940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20607 (or 20605 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 577460940 is about 24030.4169751588. The cubic root of 577460940 is about 832.7363792326.

The spelling of 577460940 in words is "five hundred seventy-seven million, four hundred sixty thousand, nine hundred forty".