4577034240 has 252 divisors, whose sum is σ = 16030622244. Its totient is φ = 1207959552.

The previous prime is 4577034211. The next prime is 4577034257. The reversal of 4577034240 is 424307754.

4577034240 is a `hidden beast` number, since 4 + 577 + 0 + 3 + 42 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1849688064 + 2727346176 = 43008^2 + 52224^2 .

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 = 4577034195 and 4577034204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47185872 + ... + 47185968.

Almost surely, 2^4577034240 is an apocalyptic number.

4577034240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4577034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8015311122).

4577034240 is an abundant number, since it is smaller than the sum of its proper divisors (11453588004).

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

4577034240 is an frugal number, since it uses more digits than its factorization.

4577034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 4577034240 is about 67653.7821559150. The cubic root of 4577034240 is about 1660.3311672955.

The spelling of 4577034240 in words is "four billion, five hundred seventy-seven million, thirty-four thousand, two hundred forty".