4576854240 has 768 divisors, whose sum is σ = 20118067200. Its totient is φ = 947552256.

The previous prime is 4576854181. The next prime is 4576854277. The reversal of 4576854240 is 424586754.

4576854240 is a `hidden beast` number, since 4 + 5 + 7 + 68 + 542 + 40 = 666.

It is a super-3 number, since 3×4576854240³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 14908167 + ... + 14908473.

It is an arithmetic number, because the mean of its divisors is an integer number (26195400).

Almost surely, 2^4576854240 is an apocalyptic number.

4576854240 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 4576854240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10059033600).

4576854240 is an abundant number, since it is smaller than the sum of its proper divisors (15541212960).

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

4576854240 is a wasteful number, since it uses less digits than its factorization.

4576854240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The square root of 4576854240 is about 67652.4518402696. The cubic root of 4576854240 is about 1660.3094018529.

The spelling of 4576854240 in words is "four billion, five hundred seventy-six million, eight hundred fifty-four thousand, two hundred forty".