481829004 has 72 divisors (see below), whose sum is σ = 1245404160. Its totient is φ = 157029600.

The previous prime is 481829003. The next prime is 481829009. The reversal of 481829004 is 400928184.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 481829004.

It is not an unprimeable number, because it can be changed into a prime (481829003) 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 23 ways as a sum of consecutive naturals, for example, 334117 + ... + 335555.

It is an arithmetic number, because the mean of its divisors is an integer number (17297280).

Almost surely, 2^481829004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481829004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622702080).

481829004 is an abundant number, since it is smaller than the sum of its proper divisors (763575156).

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

481829004 is a wasteful number, since it uses less digits than its factorization.

481829004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 481829004 is about 21950.6037274604. The cubic root of 481829004 is about 783.9667550633.

The spelling of 481829004 in words is "four hundred eighty-one million, eight hundred twenty-nine thousand, four".