481511520 has 192 divisors, whose sum is σ = 1926167040. Its totient is φ = 110052864.

The previous prime is 481511501. The next prime is 481511521. The reversal of 481511520 is 25115184.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481511521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22279 + ... + 38201.

It is an arithmetic number, because the mean of its divisors is an integer number (10032120).

Almost surely, 2^481511520 is an apocalyptic number.

481511520 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 481511520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963083520).

481511520 is an abundant number, since it is smaller than the sum of its proper divisors (1444655520).

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

481511520 is a wasteful number, since it uses less digits than its factorization.

481511520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15954 (or 15940 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 481511520 is about 21943.3707529176. The cubic root of 481511520 is about 783.7945282730.

The spelling of 481511520 in words is "four hundred eighty-one million, five hundred eleven thousand, five hundred twenty".