481864320 has 768 divisors, whose sum is σ = 2176761600. Its totient is φ = 95551488.

The previous prime is 481864307. The next prime is 481864343. The reversal of 481864320 is 23468184.

481864320 = 2205² + 2206² + ... + 2299².

481864320 is a `hidden beast` number, since 4 + 8 + 1 + 8 + 643 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13023342 + ... + 13023378.

It is an arithmetic number, because the mean of its divisors is an integer number (2834325).

Almost surely, 2^481864320 is an apocalyptic number.

481864320 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 481864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088380800).

481864320 is an abundant number, since it is smaller than the sum of its proper divisors (1694897280).

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

481864320 is a wasteful number, since it uses less digits than its factorization.

481864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 481864320 is about 21951.4081552870. The cubic root of 481864320 is about 783.9859083959.

The spelling of 481864320 in words is "four hundred eighty-one million, eight hundred sixty-four thousand, three hundred twenty".