726048484 has 72 divisors (see below), whose sum is σ = 1547433720. Its totient is φ = 296884224.

The previous prime is 726048481. The next prime is 726048487. The reversal of 726048484 is 484840627.

It is an interprime number because it is at equal distance from previous prime (726048481) and next prime (726048487).

It can be written as a sum of positive squares in 4 ways, for example, as 319622884 + 406425600 = 17878^2 + 20160^2 .

It is a super-2 number, since 2×726048484² = 1054292802237396512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 726048484.

It is not an unprimeable number, because it can be changed into a prime (726048481) 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, 383412 + ... + 385300.

It is an arithmetic number, because the mean of its divisors is an integer number (21492135).

Almost surely, 2^726048484 is an apocalyptic number.

726048484 is a gapful number since it is divisible by the number (74) 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 726048484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773716860).

726048484 is an abundant number, since it is smaller than the sum of its proper divisors (821385236).

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

726048484 is a wasteful number, since it uses less digits than its factorization.

726048484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 43.

The square root of 726048484 is about 26945.2868605996. The cubic root of 726048484 is about 898.7837414527.

The spelling of 726048484 in words is "seven hundred twenty-six million, forty-eight thousand, four hundred eighty-four".