481201128 has 64 divisors (see below), whose sum is σ = 1340668800. Its totient is φ = 159920640.

The previous prime is 481201111. The next prime is 481201139. The reversal of 481201128 is 821102184.

It is a super-3 number, since 3×481201128³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73093 + ... + 79403.

It is an arithmetic number, because the mean of its divisors is an integer number (20947950).

Almost surely, 2^481201128 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 481201128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670334400).

481201128 is an abundant number, since it is smaller than the sum of its proper divisors (859467672).

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

481201128 is a wasteful number, since it uses less digits than its factorization.

481201128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6679 (or 6669 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 481201128 is about 21936.2970439407. The cubic root of 481201128 is about 783.6260755050.

The spelling of 481201128 in words is "four hundred eighty-one million, two hundred one thousand, one hundred twenty-eight".