1004572800 has 768 divisors, whose sum is σ = 4613990400. Its totient is φ = 207360000.

The previous prime is 1004572799. The next prime is 1004572801. The reversal of 1004572800 is 82754001.

1004572800 is a `hidden beast` number, since 10 + 0 + 4 + 572 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1004572799) and next prime (1004572801).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1004572801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6652725 + ... + 6652875.

It is an arithmetic number, because the mean of its divisors is an integer number (6007800).

Almost surely, 2^1004572800 is an apocalyptic number.

1004572800 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 1004572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306995200).

1004572800 is an abundant number, since it is smaller than the sum of its proper divisors (3609417600).

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

1004572800 is a wasteful number, since it uses less digits than its factorization.

1004572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1004572800 is about 31694.9964505441. The cubic root of 1004572800 is about 1001.5219491623.

The spelling of 1004572800 in words is "one billion, four million, five hundred seventy-two thousand, eight hundred".