577463040 has 864 divisors, whose sum is σ = 2684344320. Its totient is φ = 116121600.

The previous prime is 577463023. The next prime is 577463041. The reversal of 577463040 is 40364775.

577463040 is a `hidden beast` number, since 577 + 46 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 577462986 and 577463004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (577463041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18627825 + ... + 18627855.

It is an arithmetic number, because the mean of its divisors is an integer number (3106880).

Almost surely, 2^577463040 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 577463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342172160).

577463040 is an abundant number, since it is smaller than the sum of its proper divisors (2106881280).

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

577463040 is a wasteful number, since it uses less digits than its factorization.

577463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 577463040 is about 24030.4606697416. The cubic root of 577463040 is about 832.7373886771.

The spelling of 577463040 in words is "five hundred seventy-seven million, four hundred sixty-three thousand, forty".