481356000 has 192 divisors, whose sum is σ = 1752528960. Its totient is φ = 128332800.

The previous prime is 481355947. The next prime is 481356041. The reversal of 481356000 is 653184.

481356000 is a `hidden beast` number, since 48 + 13 + 5 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 105772 + ... + 110228.

It is an arithmetic number, because the mean of its divisors is an integer number (9127755).

Almost surely, 2^481356000 is an apocalyptic number.

481356000 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 481356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876264480).

481356000 is an abundant number, since it is smaller than the sum of its proper divisors (1271172960).

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

481356000 is a wasteful number, since it uses less digits than its factorization.

481356000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4491 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 481356000 is about 21939.8267996810. The cubic root of 481356000 is about 783.7101351029.

The spelling of 481356000 in words is "four hundred eighty-one million, three hundred fifty-six thousand".