720409248 has 192 divisors, whose sum is σ = 2336947200. Its totient is φ = 214410240.

The previous prime is 720409201. The next prime is 720409273. The reversal of 720409248 is 842904027.

720409248 is a `hidden beast` number, since 7 + 2 + 0 + 409 + 248 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347158 + ... + 349226.

It is an arithmetic number, because the mean of its divisors is an integer number (12171600).

Almost surely, 2^720409248 is an apocalyptic number.

720409248 is a gapful number since it is divisible by the number (78) 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 720409248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168473600).

720409248 is an abundant number, since it is smaller than the sum of its proper divisors (1616537952).

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

720409248 is a wasteful number, since it uses less digits than its factorization.

720409248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 720409248 is about 26840.4405328974. The cubic root of 720409248 is about 896.4507325111.

The spelling of 720409248 in words is "seven hundred twenty million, four hundred nine thousand, two hundred forty-eight".