481799520 has 288 divisors, whose sum is σ = 1743565824. Its totient is φ = 120960000.

The previous prime is 481799503. The next prime is 481799543. The reversal of 481799520 is 25997184.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1919395 + ... + 1919645.

It is an arithmetic number, because the mean of its divisors is an integer number (6054048).

Almost surely, 2^481799520 is an apocalyptic number.

481799520 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 481799520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871782912).

481799520 is an abundant number, since it is smaller than the sum of its proper divisors (1261766304).

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

481799520 is a wasteful number, since it uses less digits than its factorization.

481799520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 481799520 is about 21949.9321183461. The cubic root of 481799520 is about 783.9507639495.

The spelling of 481799520 in words is "four hundred eighty-one million, seven hundred ninety-nine thousand, five hundred twenty".