1004400768 has 64 divisors (see below), whose sum is σ = 3049081920. Its totient is φ = 286970880.

The previous prime is 1004400767. The next prime is 1004400769. The reversal of 1004400768 is 8670044001.

It is an interprime number because it is at equal distance from previous prime (1004400767) and next prime (1004400769).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1004400767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184143 + ... + 189518.

It is an arithmetic number, because the mean of its divisors is an integer number (47641905).

Almost surely, 2^1004400768 is an apocalyptic number.

It is an amenable number.

1004400768 is an abundant number, since it is smaller than the sum of its proper divisors (2044681152).

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

1004400768 is an equidigital number, since it uses as much as digits as its factorization.

1004400768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373685 (or 373673 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1004400768 is about 31692.2824675030. The cubic root of 1004400768 is about 1001.4647760502.

Adding to 1004400768 its reverse (8670044001), we get a palindrome (9674444769).

The spelling of 1004400768 in words is "one billion, four million, four hundred thousand, seven hundred sixty-eight".