4701413460 has 96 divisors (see below), whose sum is σ = 13376143872. Its totient is φ = 1233653760.

The previous prime is 4701413459. The next prime is 4701413467. The reversal of 4701413460 is 643141074.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4701413467) 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 31 ways as a sum of consecutive naturals, for example, 1051189 + ... + 1055651.

It is an arithmetic number, because the mean of its divisors is an integer number (139334832).

Almost surely, 2^4701413460 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 4701413460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6688071936).

4701413460 is an abundant number, since it is smaller than the sum of its proper divisors (8674730412).

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

4701413460 is a wasteful number, since it uses less digits than its factorization.

4701413460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4753 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4701413460 is about 68566.8539456201. The cubic root of 4701413460 is about 1675.2365846856.

The spelling of 4701413460 in words is "four billion, seven hundred one million, four hundred thirteen thousand, four hundred sixty".