480579426 has 128 divisors (see below), whose sum is σ = 1213056000. Its totient is φ = 140113152.

The previous prime is 480579413. The next prime is 480579427. The reversal of 480579426 is 624975084.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (480579427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1028845 + ... + 1029311.

It is an arithmetic number, because the mean of its divisors is an integer number (9477000).

Almost surely, 2^480579426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480579426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606528000).

480579426 is an abundant number, since it is smaller than the sum of its proper divisors (732476574).

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

480579426 is a wasteful number, since it uses less digits than its factorization.

480579426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 480579426 is about 21922.1218407343. The cubic root of 480579426 is about 783.2884537841.

The spelling of 480579426 in words is "four hundred eighty million, five hundred seventy-nine thousand, four hundred twenty-six".