481058100 has 108 divisors (see below), whose sum is σ = 1512947436. Its totient is φ = 127848960.

The previous prime is 481058099. The next prime is 481058107. The reversal of 481058100 is 1850184.

481058100 is a `hidden beast` number, since 4 + 81 + 0 + 581 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1710864 + 479347236 = 1308^2 + 21894^2 .

It is a super-3 number, since 3×481058100³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481058107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 334984 + ... + 336416.

Almost surely, 2^481058100 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 481058100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756473718).

481058100 is an abundant number, since it is smaller than the sum of its proper divisors (1031889336).

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

481058100 is a wasteful number, since it uses less digits than its factorization.

481058100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 481058100 is about 21933.0367254514. The cubic root of 481058100 is about 783.5484284324.

The spelling of 481058100 in words is "four hundred eighty-one million, fifty-eight thousand, one hundred".