4592400096 has 96 divisors (see below), whose sum is σ = 12508745760. Its totient is φ = 1473511424.

The previous prime is 4592400091. The next prime is 4592400097. The reversal of 4592400096 is 6900042954.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4592400091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 980416 + ... + 985088.

It is an arithmetic number, because the mean of its divisors is an integer number (130299435).

Almost surely, 2^4592400096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4592400096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6254372880).

4592400096 is an abundant number, since it is smaller than the sum of its proper divisors (7916345664).

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

4592400096 is a wasteful number, since it uses less digits than its factorization.

4592400096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5068 (or 5060 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 4592400096 is about 67767.2494351069. The cubic root of 4592400096 is about 1662.1870934723.

The spelling of 4592400096 in words is "four billion, five hundred ninety-two million, four hundred thousand, ninety-six".