726945408 has 256 divisors, whose sum is σ = 2480640000. Its totient is φ = 205286400.

The previous prime is 726945391. The next prime is 726945409. The reversal of 726945408 is 804549627.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726945409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3652893 + ... + 3653091.

It is an arithmetic number, because the mean of its divisors is an integer number (9690000).

Almost surely, 2^726945408 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 726945408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240320000).

726945408 is an abundant number, since it is smaller than the sum of its proper divisors (1753694592).

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

726945408 is a wasteful number, since it uses less digits than its factorization.

726945408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 362 counting only the distinct ones).

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

The square root of 726945408 is about 26961.9251538164. The cubic root of 726945408 is about 899.1536933217.

The spelling of 726945408 in words is "seven hundred twenty-six million, nine hundred forty-five thousand, four hundred eight".