4592485440 has 672 divisors, whose sum is σ = 17973446400. Its totient is φ = 1070530560.

The previous prime is 4592485439. The next prime is 4592485477. The reversal of 4592485440 is 445842954.

It is a happy number.

4592485440 is a `hidden beast` number, since 4 + 592 + 4 + 8 + 54 + 4 + 0 = 666.

It is a super-2 number, since 2×4592485440² = 42181845033223987200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51600916 + ... + 51601004.

It is an arithmetic number, because the mean of its divisors is an integer number (26746200).

Almost surely, 2^4592485440 is an apocalyptic number.

4592485440 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 4592485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8986723200).

4592485440 is an abundant number, since it is smaller than the sum of its proper divisors (13380960960).

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

4592485440 is a wasteful number, since it uses less digits than its factorization.

4592485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 4592485440 is about 67767.8791168796. The cubic root of 4592485440 is about 1662.1973899631.

The spelling of 4592485440 in words is "four billion, five hundred ninety-two million, four hundred eighty-five thousand, four hundred forty".