1004457120 has 96 divisors (see below), whose sum is σ = 3195521280. Its totient is φ = 265190400.

The previous prime is 1004457107. The next prime is 1004457143. The reversal of 1004457120 is 217544001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 38121 + ... + 58839.

It is an arithmetic number, because the mean of its divisors is an integer number (33286680).

Almost surely, 2^1004457120 is an apocalyptic number.

1004457120 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 1004457120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597760640).

1004457120 is an abundant number, since it is smaller than the sum of its proper divisors (2191064160).

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

1004457120 is a wasteful number, since it uses less digits than its factorization.

1004457120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20838 (or 20830 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 1004457120 is about 31693.1715042846. The cubic root of 1004457120 is about 1001.4835047919.

The spelling of 1004457120 in words is "one billion, four million, four hundred fifty-seven thousand, one hundred twenty".