4507461504 has 768 divisors, whose sum is σ = 17583820800. Its totient is φ = 1074954240.

The previous prime is 4507461467. The next prime is 4507461509. The reversal of 4507461504 is 4051647054.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4507461509) by changing a digit.

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, 61746012 + ... + 61746084.

It is an arithmetic number, because the mean of its divisors is an integer number (22895600).

Almost surely, 2^4507461504 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 4507461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8791910400).

4507461504 is an abundant number, since it is smaller than the sum of its proper divisors (13076359296).

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

4507461504 is a wasteful number, since it uses less digits than its factorization.

4507461504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 4507461504 is about 67137.6310574033. The cubic root of 4507461504 is about 1651.8756147713.

The spelling of 4507461504 in words is "four billion, five hundred seven million, four hundred sixty-one thousand, five hundred four".