1004730480 has 200 divisors, whose sum is σ = 3758321952. Its totient is φ = 247297536.

The previous prime is 1004730439. The next prime is 1004730497. The reversal of 1004730480 is 840374001.

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

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 39 ways as a sum of consecutive naturals, for example, 78277 + ... + 90203.

Almost surely, 2^1004730480 is an apocalyptic number.

1004730480 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 1004730480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879160976).

1004730480 is an abundant number, since it is smaller than the sum of its proper divisors (2753591472).

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

1004730480 is a wasteful number, since it uses less digits than its factorization.

1004730480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11965 (or 11950 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1004730480 is about 31697.4838118107. The cubic root of 1004730480 is about 1001.5743467981.

The spelling of 1004730480 in words is "one billion, four million, seven hundred thirty thousand, four hundred eighty".