4515460992 has 448 divisors, whose sum is σ = 15982632960. Its totient is φ = 1242915840.

The previous prime is 4515460969. The next prime is 4515461021. The reversal of 4515460992 is 2990645154.

4515460992 is a `hidden beast` number, since 4 + 515 + 46 + 0 + 9 + 92 = 666.

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

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 20248593 + ... + 20248815.

It is an arithmetic number, because the mean of its divisors is an integer number (35675520).

Almost surely, 2^4515460992 is an apocalyptic number.

4515460992 is a gapful number since it is divisible by the number (42) 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 4515460992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7991316480).

4515460992 is an abundant number, since it is smaller than the sum of its proper divisors (11467171968).

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

4515460992 is an equidigital number, since it uses as much as digits as its factorization.

4515460992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 4515460992 is about 67197.1799408279. The cubic root of 4515460992 is about 1652.8522435378.

The spelling of 4515460992 in words is "four billion, five hundred fifteen million, four hundred sixty thousand, nine hundred ninety-two".