481428000 has 288 divisors, whose sum is σ = 1753944192. Its totient is φ = 124992000.

The previous prime is 481427983. The next prime is 481428037. The reversal of 481428000 is 824184.

It is a tau number, because it is divible by the number of its divisors (288).

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, 1547845 + ... + 1548155.

It is an arithmetic number, because the mean of its divisors is an integer number (6090084).

Almost surely, 2^481428000 is an apocalyptic number.

481428000 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 481428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876972096).

481428000 is an abundant number, since it is smaller than the sum of its proper divisors (1272516192).

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

481428000 is a wasteful number, since it uses less digits than its factorization.

481428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 481428000 is about 21941.4675899312. The cubic root of 481428000 is about 783.7492082743.

The spelling of 481428000 in words is "four hundred eighty-one million, four hundred twenty-eight thousand".