726455340 has 144 divisors (see below), whose sum is σ = 2383643808. Its totient is φ = 178025472.

The previous prime is 726455273. The next prime is 726455347. The reversal of 726455340 is 43554627.

726455340 is a `hidden beast` number, since 7 + 2 + 64 + 553 + 40 = 666.

It is a super-2 number, since 2×726455340² = 1055474722029031200, which contains 22 as substring.

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 = 726455295 and 726455304.

It is not an unprimeable number, because it can be changed into a prime (726455347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 661672 + ... + 662768.

It is an arithmetic number, because the mean of its divisors is an integer number (16553082).

Almost surely, 2^726455340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726455340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191821904).

726455340 is an abundant number, since it is smaller than the sum of its proper divisors (1657188468).

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

726455340 is a wasteful number, since it uses less digits than its factorization.

726455340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 726455340 is about 26952.8354723580. The cubic root of 726455340 is about 898.9515940056.

The spelling of 726455340 in words is "seven hundred twenty-six million, four hundred fifty-five thousand, three hundred forty".