4575198240 has 288 divisors, whose sum is σ = 16277054976. Its totient is φ = 1168957440.

The previous prime is 4575198239. The next prime is 4575198269. The reversal of 4575198240 is 428915754.

4575198240 is a `hidden beast` number, since 4 + 57 + 519 + 82 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5043867 + ... + 5044773.

It is an arithmetic number, because the mean of its divisors is an integer number (56517552).

Almost surely, 2^4575198240 is an apocalyptic number.

4575198240 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 4575198240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8138527488).

4575198240 is an abundant number, since it is smaller than the sum of its proper divisors (11701856736).

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

4575198240 is a wasteful number, since it uses less digits than its factorization.

4575198240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 4575198240 is about 67640.2117087166. The cubic root of 4575198240 is about 1660.1091330003.

The spelling of 4575198240 in words is "four billion, five hundred seventy-five million, one hundred ninety-eight thousand, two hundred forty".