481012224 has 320 divisors, whose sum is σ = 1649894400. Its totient is φ = 123432960.

The previous prime is 481012211. The next prime is 481012283. The reversal of 481012224 is 422210184.

It is a super-3 number, since 3×481012224³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 481012194 and 481012203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5795287 + ... + 5795369.

It is an arithmetic number, because the mean of its divisors is an integer number (5155920).

Almost surely, 2^481012224 is an apocalyptic number.

481012224 is a gapful number since it is divisible by the number (44) 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 481012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824947200).

481012224 is an abundant number, since it is smaller than the sum of its proper divisors (1168882176).

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

481012224 is an equidigital number, since it uses as much as digits as its factorization.

481012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 481012224 is about 21931.9908809027. The cubic root of 481012224 is about 783.5235199993.

The spelling of 481012224 in words is "four hundred eighty-one million, twelve thousand, two hundred twenty-four".