481780 has 48 divisors (see below), whose sum is σ = 1164240. Its totient is φ = 165888.

The previous prime is 481769. The next prime is 481787. The reversal of 481780 is 87184.

It can be written as a sum of positive squares in 8 ways, for example, as 144 + 481636 = 12^2 + 694^2 .

It is a super-2 number, since 2×481780² = 464223936800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481787) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4366 + ... + 4474.

It is an arithmetic number, because the mean of its divisors is an integer number (24255).

2⁴⁸¹⁷⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582120).

481780 is an abundant number, since it is smaller than the sum of its proper divisors (682460).

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

481780 is a wasteful number, since it uses less digits than its factorization.

481780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 481780 is about 694.1037386443. The cubic root of 481780 is about 78.3940176610.

The spelling of 481780 in words is "four hundred eighty-one thousand, seven hundred eighty".