1004007004 has 48 divisors (see below), whose sum is σ = 2359074816. Its totient is φ = 361080000.

The previous prime is 1004006989. The next prime is 1004007031. The reversal of 1004007004 is 4007004001.

It is a happy number.

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, 121372 + ... + 129379.

It is an arithmetic number, because the mean of its divisors is an integer number (49147392).

Almost surely, 2^1004007004 is an apocalyptic number.

1004007004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1004007004 is an abundant number, since it is smaller than the sum of its proper divisors (1355067812).

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

1004007004 is a wasteful number, since it uses less digits than its factorization.

1004007004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250786 (or 250784 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 1004007004 is about 31686.0695574569. The cubic root of 1004007004 is about 1001.3338879518. Note that the first 3 decimals are identical.

The spelling of 1004007004 in words is "one billion, four million, seven thousand, four".