4001300460 has 72 divisors (see below), whose sum is σ = 12146425200. Its totient is φ = 1066209408.

The previous prime is 4001300453. The next prime is 4001300503. The reversal of 4001300460 is 640031004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253891 + ... + 269189.

It is an arithmetic number, because the mean of its divisors is an integer number (168700350).

Almost surely, 2^4001300460 is an apocalyptic number.

It is an amenable number.

4001300460 is an abundant number, since it is smaller than the sum of its proper divisors (8145124740).

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

4001300460 is a wasteful number, since it uses less digits than its factorization.

4001300460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16767 (or 16762 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4001300460 is about 63255.8334068883. The cubic root of 4001300460 is about 1587.5730626261.

Adding to 4001300460 its reverse (640031004), we get a palindrome (4641331464).

The spelling of 4001300460 in words is "four billion, one million, three hundred thousand, four hundred sixty".