481784100 has 144 divisors (see below), whose sum is σ = 1619646336. Its totient is φ = 108288000.

The previous prime is 481784089. The next prime is 481784101. The reversal of 481784100 is 1487184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481784101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126220 + ... + 129980.

It is an arithmetic number, because the mean of its divisors is an integer number (11247544).

Almost surely, 2^481784100 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 481784100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809823168).

481784100 is an abundant number, since it is smaller than the sum of its proper divisors (1137862236).

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

481784100 is a wasteful number, since it uses less digits than its factorization.

481784100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3846 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 481784100 is about 21949.5808616019. The cubic root of 481784100 is about 783.9424004088.

The spelling of 481784100 in words is "four hundred eighty-one million, seven hundred eighty-four thousand, one hundred".