481328640 has 240 divisors, whose sum is σ = 1796322528. Its totient is φ = 118407168.

The previous prime is 481328629. The next prime is 481328651. The reversal of 481328640 is 46823184.

481328640 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 2 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (481328629) and next prime (481328651).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 481328595 and 481328604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298717 + ... + 300323.

Almost surely, 2^481328640 is an apocalyptic number.

481328640 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 481328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898161264).

481328640 is an abundant number, since it is smaller than the sum of its proper divisors (1314993888).

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

481328640 is a wasteful number, since it uses less digits than its factorization.

481328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1630 counting only the distinct ones).

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

The square root of 481328640 is about 21939.2032672110. The cubic root of 481328640 is about 783.6952862761.

The spelling of 481328640 in words is "four hundred eighty-one million, three hundred twenty-eight thousand, six hundred forty".