481977216 has 320 divisors, whose sum is σ = 1703196000. Its totient is φ = 132378624.

The previous prime is 481977211. The next prime is 481977227. The reversal of 481977216 is 612779184.

It is a happy number.

481977216 is a `hidden beast` number, since 481 + 97 + 72 + 16 = 666.

It is a super-2 number, since 2×481977216² = 464604073486221312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481977211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2104590 + ... + 2104818.

Almost surely, 2^481977216 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 481977216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851598000).

481977216 is an abundant number, since it is smaller than the sum of its proper divisors (1221218784).

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

481977216 is a wasteful number, since it uses less digits than its factorization.

481977216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 270 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 481977216 is about 21953.9795025868. The cubic root of 481977216 is about 784.0471303057.

The spelling of 481977216 in words is "four hundred eighty-one million, nine hundred seventy-seven thousand, two hundred sixteen".