481380504 has 96 divisors (see below), whose sum is σ = 1385864640. Its totient is φ = 138168000.

The previous prime is 481380479. The next prime is 481380509. The reversal of 481380504 is 405083184.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481380509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92779 + ... + 97829.

It is an arithmetic number, because the mean of its divisors is an integer number (14436090).

Almost surely, 2^481380504 is an apocalyptic number.

481380504 is a gapful number since it is divisible by the number (44) 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 481380504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692932320).

481380504 is an abundant number, since it is smaller than the sum of its proper divisors (904484136).

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

481380504 is a wasteful number, since it uses less digits than its factorization.

481380504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5109 (or 5086 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 481380504 is about 21940.3852290702. The cubic root of 481380504 is about 783.7234334429.

The spelling of 481380504 in words is "four hundred eighty-one million, three hundred eighty thousand, five hundred four".