1004713920 has 672 divisors, whose sum is σ = 4323770880. Its totient is φ = 209018880.

The previous prime is 1004713909. The next prime is 1004713943. The reversal of 1004713920 is 293174001.

1004713920 is a `hidden beast` number, since 100 + 471 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1004713920² = 2018900122083532800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16470690 + ... + 16470750.

Almost surely, 2^1004713920 is an apocalyptic number.

1004713920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161885440).

1004713920 is an abundant number, since it is smaller than the sum of its proper divisors (3319056960).

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

1004713920 is a wasteful number, since it uses less digits than its factorization.

1004713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1004713920 is about 31697.2225912618. Note that the first 3 decimals coincide. The cubic root of 1004713920 is about 1001.5688441077.

Adding to 1004713920 its reverse (293174001), we get a palindrome (1297887921).

The spelling of 1004713920 in words is "one billion, four million, seven hundred thirteen thousand, nine hundred twenty".