1004137470 has 384 divisors, whose sum is σ = 3384426240. Its totient is φ = 201277440.

The previous prime is 1004137447. The next prime is 1004137471. The reversal of 1004137470 is 747314001.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004137471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16461240 + ... + 16461300.

It is an arithmetic number, because the mean of its divisors is an integer number (8813610).

Almost surely, 2^1004137470 is an apocalyptic number.

1004137470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004137470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692213120).

1004137470 is an abundant number, since it is smaller than the sum of its proper divisors (2380288770).

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

1004137470 is a wasteful number, since it uses less digits than its factorization.

1004137470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1004137470 is about 31688.1282186247. The cubic root of 1004137470 is about 1001.3772589536.

The spelling of 1004137470 in words is "one billion, four million, one hundred thirty-seven thousand, four hundred seventy".