726885440 has 56 divisors (see below), whose sum is σ = 1738503000. Its totient is φ = 289476608.

The previous prime is 726885437. The next prime is 726885457. The reversal of 726885440 is 44588627.

It can be written as a sum of positive squares in 4 ways, for example, as 906304 + 725979136 = 952^2 + 26944^2 .

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 726885391 and 726885400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69686 + ... + 79434.

Almost surely, 2^726885440 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 726885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869251500).

726885440 is an abundant number, since it is smaller than the sum of its proper divisors (1011617560).

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

726885440 is a wasteful number, since it uses less digits than its factorization.

726885440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9999 (or 9989 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 44.

The square root of 726885440 is about 26960.8130441202. The cubic root of 726885440 is about 899.1289679751.

The spelling of 726885440 in words is "seven hundred twenty-six million, eight hundred eighty-five thousand, four hundred forty".