481971126 has 128 divisors (see below), whose sum is σ = 1249920000. Its totient is φ = 120476160.

The previous prime is 481971089. The next prime is 481971137. The reversal of 481971126 is 621179184.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 965625 + ... + 966123.

It is an arithmetic number, because the mean of its divisors is an integer number (9765000).

Almost surely, 2^481971126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481971126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960000).

481971126 is an abundant number, since it is smaller than the sum of its proper divisors (767948874).

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

481971126 is a wasteful number, since it uses less digits than its factorization.

481971126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614.

The product of its digits is 24192, while the sum is 39.

The square root of 481971126 is about 21953.8408029210. The cubic root of 481971126 is about 784.0438280285.

The spelling of 481971126 in words is "four hundred eighty-one million, nine hundred seventy-one thousand, one hundred twenty-six".