4577890240 has 448 divisors, whose sum is σ = 14326087680. Its totient is φ = 1352355840.

The previous prime is 4577890201. The next prime is 4577890243. The reversal of 4577890240 is 420987754.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4577890243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68326687 + ... + 68326753.

Almost surely, 2^4577890240 is an apocalyptic number.

4577890240 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 4577890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7163043840).

4577890240 is an abundant number, since it is smaller than the sum of its proper divisors (9748197440).

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

4577890240 is a wasteful number, since it uses less digits than its factorization.

4577890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The square root of 4577890240 is about 67660.1081879123. The cubic root of 4577890240 is about 1660.4346662581.

The spelling of 4577890240 in words is "four billion, five hundred seventy-seven million, eight hundred ninety thousand, two hundred forty".