481568640 has 128 divisors (see below), whose sum is σ = 1754334720. Its totient is φ = 110069760.

The previous prime is 481568621. The next prime is 481568651. The reversal of 481568640 is 46865184.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 481568592 and 481568601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4476 + ... + 31355.

It is an arithmetic number, because the mean of its divisors is an integer number (13705740).

Almost surely, 2^481568640 is an apocalyptic number.

481568640 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 481568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877167360).

481568640 is an abundant number, since it is smaller than the sum of its proper divisors (1272766080).

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

481568640 is a wasteful number, since it uses less digits than its factorization.

481568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35860 (or 35848 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 481568640 is about 21944.6722463563. The cubic root of 481568640 is about 783.8255199671.

The spelling of 481568640 in words is "four hundred eighty-one million, five hundred sixty-eight thousand, six hundred forty".