481598100 has 108 divisors (see below), whose sum is σ = 1598389884. Its totient is φ = 120867840.

The previous prime is 481598093. The next prime is 481598123. The reversal of 481598100 is 1895184.

It can be written as a sum of positive squares in 6 ways, for example, as 3825936 + 477772164 = 1956^2 + 21858^2 .

It is a super-2 number, since 2×481598100² = 463873459847220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 439 + ... + 31038.

Almost surely, 2^481598100 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 481598100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799194942).

481598100 is an abundant number, since it is smaller than the sum of its proper divisors (1116791784).

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

481598100 is a wasteful number, since it uses less digits than its factorization.

481598100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31514 (or 31504 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 481598100 is about 21945.3434696293. The cubic root of 481598100 is about 783.8415031708.

The spelling of 481598100 in words is "four hundred eighty-one million, five hundred ninety-eight thousand, one hundred".