720460224 has 224 divisors, whose sum is σ = 2392070400. Its totient is φ = 210631680.

The previous prime is 720460201. The next prime is 720460229. The reversal of 720460224 is 422064027.

It is a happy number.

It is a super-3 number, since 3×720460224³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720460229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550579 + ... + 551885.

Almost surely, 2^720460224 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 720460224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196035200).

720460224 is an abundant number, since it is smaller than the sum of its proper divisors (1671610176).

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

720460224 is a wasteful number, since it uses less digits than its factorization.

720460224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 720460224 is about 26841.3901279349. The cubic root of 720460224 is about 896.4718762313.

The spelling of 720460224 in words is "seven hundred twenty million, four hundred sixty thousand, two hundred twenty-four".