481796640 has 384 divisors, whose sum is σ = 1900039680. Its totient is φ = 113135616.

The previous prime is 481796621. The next prime is 481796641. The reversal of 481796640 is 46697184.

481796640 is a `hidden beast` number, since 481 + 79 + 66 + 40 = 666.

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 (481796641) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1291494 + ... + 1291866.

It is an arithmetic number, because the mean of its divisors is an integer number (4948020).

Almost surely, 2^481796640 is an apocalyptic number.

481796640 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 481796640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950019840).

481796640 is an abundant number, since it is smaller than the sum of its proper divisors (1418243040).

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

481796640 is a wasteful number, since it uses less digits than its factorization.

481796640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 481796640 is about 21949.8665144005. The cubic root of 481796640 is about 783.9492019010.

The spelling of 481796640 in words is "four hundred eighty-one million, seven hundred ninety-six thousand, six hundred forty".