481706526 has 64 divisors (see below), whose sum is σ = 1216539648. Its totient is φ = 123898368.

The previous prime is 481706521. The next prime is 481706531. The reversal of 481706526 is 625607184.

It is an interprime number because it is at equal distance from previous prime (481706521) and next prime (481706531).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481706521) 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, 1756 + ... + 31088.

It is an arithmetic number, because the mean of its divisors is an integer number (19008432).

Almost surely, 2^481706526 is an apocalyptic number.

481706526 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 481706526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608269824).

481706526 is an abundant number, since it is smaller than the sum of its proper divisors (734833122).

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

481706526 is a wasteful number, since it uses less digits than its factorization.

481706526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29385.

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 481706526 is about 21947.8136952180. The cubic root of 481706526 is about 783.9003229083.

The spelling of 481706526 in words is "four hundred eighty-one million, seven hundred six thousand, five hundred twenty-six".