726458040 has 384 divisors, whose sum is σ = 2992204800. Its totient is φ = 148469760.

The previous prime is 726458021. The next prime is 726458053. The reversal of 726458040 is 40854627.

726458040 is a `hidden beast` number, since 7 + 2 + 645 + 8 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 726457986 and 726458004.

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 95 ways as a sum of consecutive naturals, for example, 2023381 + ... + 2023739.

It is an arithmetic number, because the mean of its divisors is an integer number (7792200).

Almost surely, 2^726458040 is an apocalyptic number.

726458040 is a gapful number since it is divisible by the number (70) 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 726458040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496102400).

726458040 is an abundant number, since it is smaller than the sum of its proper divisors (2265746760).

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

726458040 is a wasteful number, since it uses less digits than its factorization.

726458040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 726458040 is about 26952.8855598060. The cubic root of 726458040 is about 898.9527077085.

The spelling of 726458040 in words is "seven hundred twenty-six million, four hundred fifty-eight thousand, forty".