4578897960 has 768 divisors, whose sum is σ = 19624550400. Its totient is φ = 899610624.

The previous prime is 4578897919. The next prime is 4578898003. The reversal of 4578897960 is 697988754.

4578897960 is a `hidden beast` number, since 457 + 8 + 8 + 97 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44455269 + ... + 44455371.

It is an arithmetic number, because the mean of its divisors is an integer number (25552800).

Almost surely, 2^4578897960 is an apocalyptic number.

4578897960 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 4578897960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9812275200).

4578897960 is an abundant number, since it is smaller than the sum of its proper divisors (15045652440).

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

4578897960 is a wasteful number, since it uses less digits than its factorization.

4578897960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The square root of 4578897960 is about 67667.5547068165. The cubic root of 4578897960 is about 1660.5564931531.

The spelling of 4578897960 in words is "four billion, five hundred seventy-eight million, eight hundred ninety-seven thousand, nine hundred sixty".