481052208 has 120 divisors (see below), whose sum is σ = 1556910768. Its totient is φ = 126862848.

The previous prime is 481052171. The next prime is 481052227. The reversal of 481052208 is 802250184.

It is a super-3 number, since 3×481052208³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22710 + ... + 38442.

Almost surely, 2^481052208 is an apocalyptic number.

481052208 is a gapful number since it is divisible by the number (48) 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 481052208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778455384).

481052208 is an abundant number, since it is smaller than the sum of its proper divisors (1075858560).

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

481052208 is a wasteful number, since it uses less digits than its factorization.

481052208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15771 (or 15758 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 481052208 is about 21932.9024071143. The cubic root of 481052208 is about 783.5452294520.

The spelling of 481052208 in words is "four hundred eighty-one million, fifty-two thousand, two hundred eight".