1004458560 has 224 divisors, whose sum is σ = 3837066240. Its totient is φ = 217479168.

The previous prime is 1004458547. The next prime is 1004458561. The reversal of 1004458560 is 658544001.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (1004458561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123747 + ... + 131613.

It is an arithmetic number, because the mean of its divisors is an integer number (17129760).

Almost surely, 2^1004458560 is an apocalyptic number.

1004458560 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 1004458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918533120).

1004458560 is an abundant number, since it is smaller than the sum of its proper divisors (2832607680).

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

1004458560 is a wasteful number, since it uses less digits than its factorization.

1004458560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7913 (or 7903 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 1004458560 is about 31693.1942221039. The cubic root of 1004458560 is about 1001.4839833707.

The spelling of 1004458560 in words is "one billion, four million, four hundred fifty-eight thousand, five hundred sixty".