1004384640 has 128 divisors (see below), whose sum is σ = 3658878720. Its totient is φ = 229570560.

The previous prime is 1004384629. The next prime is 1004384651. The reversal of 1004384640 is 464834001.

It is an interprime number because it is at equal distance from previous prime (1004384629) and next prime (1004384651).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 1004384598 and 1004384607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23926 + ... + 50805.

It is an arithmetic number, because the mean of its divisors is an integer number (28584990).

Almost surely, 2^1004384640 is an apocalyptic number.

1004384640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004384640 is an abundant number, since it is smaller than the sum of its proper divisors (2654494080).

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

1004384640 is an equidigital number, since it uses as much as digits as its factorization.

1004384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74760 (or 74748 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1004384640 is about 31692.0280196771. The cubic root of 1004384640 is about 1001.4594157362.

The spelling of 1004384640 in words is "one billion, four million, three hundred eighty-four thousand, six hundred forty".