481021600 has 72 divisors (see below), whose sum is σ = 1193665788. Its totient is φ = 189235200.

The previous prime is 481021591. The next prime is 481021621. The reversal of 481021600 is 6120184.

It can be written as a sum of positive squares in 6 ways, for example, as 35473936 + 445547664 = 5956^2 + 21108^2 .

It is a super-3 number, since 3×481021600³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43872 + ... + 53728.

Almost surely, 2^481021600 is an apocalyptic number.

481021600 is a gapful number since it is divisible by the number (40) 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 481021600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596832894).

481021600 is an abundant number, since it is smaller than the sum of its proper divisors (712644188).

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

481021600 is a wasteful number, since it uses less digits than its factorization.

481021600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9938 (or 9925 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 481021600 is about 21932.2046315458. The cubic root of 481021600 is about 783.5286108393.

Adding to 481021600 its reverse (6120184), we get a palindrome (487141784).

The spelling of 481021600 in words is "four hundred eighty-one million, twenty-one thousand, six hundred".