720465408 has 320 divisors, whose sum is σ = 2429011200. Its totient is φ = 209018880.

The previous prime is 720465401. The next prime is 720465419. The reversal of 720465408 is 804564027.

720465408 is a `hidden beast` number, since 72 + 0 + 46 + 540 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720465401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3414423 + ... + 3414633.

It is an arithmetic number, because the mean of its divisors is an integer number (7590660).

Almost surely, 2^720465408 is an apocalyptic number.

720465408 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 720465408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214505600).

720465408 is an abundant number, since it is smaller than the sum of its proper divisors (1708545792).

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

720465408 is a wasteful number, since it uses less digits than its factorization.

720465408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 720465408 is about 26841.4866950398. The cubic root of 720465408 is about 896.4740263843.

The spelling of 720465408 in words is "seven hundred twenty million, four hundred sixty-five thousand, four hundred eight".