481891872 has 288 divisors, whose sum is σ = 1640943360. Its totient is φ = 122411520.

The previous prime is 481891867. The next prime is 481891903. The reversal of 481891872 is 278198184.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3466779 + ... + 3466917.

It is an arithmetic number, because the mean of its divisors is an integer number (5697720).

Almost surely, 2^481891872 is an apocalyptic number.

481891872 is a gapful number since it is divisible by the number (42) 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 481891872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820471680).

481891872 is an abundant number, since it is smaller than the sum of its proper divisors (1159051488).

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

481891872 is a wasteful number, since it uses less digits than its factorization.

481891872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 229 counting only the distinct ones).

The product of its digits is 258048, while the sum is 48.

The square root of 481891872 is about 21952.0357142567. The cubic root of 481891872 is about 784.0008503392. Note that the first 3 decimals are identical.

The spelling of 481891872 in words is "four hundred eighty-one million, eight hundred ninety-one thousand, eight hundred seventy-two".