4766459040 has 384 divisors, whose sum is σ = 19202641920. Its totient is φ = 1081672704.

The previous prime is 4766459023. The next prime is 4766459051. The reversal of 4766459040 is 409546674.

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 63 ways as a sum of consecutive naturals, for example, 4928637 + ... + 4929603.

It is an arithmetic number, because the mean of its divisors is an integer number (50006880).

Almost surely, 2^4766459040 is an apocalyptic number.

4766459040 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 4766459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9601320960).

4766459040 is an abundant number, since it is smaller than the sum of its proper divisors (14436182880).

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

4766459040 is a wasteful number, since it uses less digits than its factorization.

4766459040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4766459040 is about 69039.5469278297. The cubic root of 4766459040 is about 1682.9270401549.

The spelling of 4766459040 in words is "four billion, seven hundred sixty-six million, four hundred fifty-nine thousand, forty".