726270480 has 240 divisors, whose sum is σ = 2712493056. Its totient is φ = 172938240.

The previous prime is 726270469. The next prime is 726270491. The reversal of 726270480 is 84072627.

It is an interprime number because it is at equal distance from previous prime (726270469) and next prime (726270491).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288909 + ... + 291411.

Almost surely, 2^726270480 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 726270480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356246528).

726270480 is an abundant number, since it is smaller than the sum of its proper divisors (1986222576).

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

726270480 is a wasteful number, since it uses less digits than its factorization.

726270480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 726270480 is about 26949.4059303726. The cubic root of 726270480 is about 898.8753359158.

The spelling of 726270480 in words is "seven hundred twenty-six million, two hundred seventy thousand, four hundred eighty".