4004000464 has 10 divisors (see below), whose sum is σ = 7757750930. Its totient is φ = 2002000224.

The previous prime is 4004000447. The next prime is 4004000521. The reversal of 4004000464 is 4640004004.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3101598864 + 902401600 = 55692^2 + 30040^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125124999 + ... + 125125030.

It is an arithmetic number, because the mean of its divisors is an integer number (775775093).

Almost surely, 2^4004000464 is an apocalyptic number.

It is an amenable number.

4004000464 is a deficient number, since it is larger than the sum of its proper divisors (3753750466).

4004000464 is a wasteful number, since it uses less digits than its factorization.

4004000464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250250037 (or 250250031 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4004000464 is about 63277.1717446347. The cubic root of 4004000464 is about 1587.9300707108.

Adding to 4004000464 its reverse (4640004004), we get a palindrome (8644004468).

The spelling of 4004000464 in words is "four billion, four million, four hundred sixty-four", and thus it is an aban number.