481947840 has 336 divisors, whose sum is σ = 1872874080. Its totient is φ = 116582400.

The previous prime is 481947833. The next prime is 481947847. The reversal of 481947840 is 48749184.

481947840 is a `hidden beast` number, since 481 + 94 + 7 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (481947833) and next prime (481947847).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (481947847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1045210 + ... + 1045670.

It is an arithmetic number, because the mean of its divisors is an integer number (5574030).

Almost surely, 2^481947840 is an apocalyptic number.

481947840 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 481947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936437040).

481947840 is an abundant number, since it is smaller than the sum of its proper divisors (1390926240).

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

481947840 is a wasteful number, since it uses less digits than its factorization.

481947840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 481947840 is about 21953.3104565120. The cubic root of 481947840 is about 784.0312010351.

The spelling of 481947840 in words is "four hundred eighty-one million, nine hundred forty-seven thousand, eight hundred forty".