726744480 has 432 divisors, whose sum is σ = 2960937504. Its totient is φ = 148162560.

The previous prime is 726744479. The next prime is 726744521. The reversal of 726744480 is 84447627.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13712134 + ... + 13712186.

It is an arithmetic number, because the mean of its divisors is an integer number (6854022).

Almost surely, 2^726744480 is an apocalyptic number.

726744480 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 726744480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480468752).

726744480 is an abundant number, since it is smaller than the sum of its proper divisors (2234193024).

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

726744480 is a wasteful number, since it uses less digits than its factorization.

726744480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 726744480 is about 26958.1987528841. The cubic root of 726744480 is about 899.0708435418.

The spelling of 726744480 in words is "seven hundred twenty-six million, seven hundred forty-four thousand, four hundred eighty".