496720224 has 288 divisors, whose sum is σ = 1897668864. Its totient is φ = 119024640.

The previous prime is 496720201. The next prime is 496720247. The reversal of 496720224 is 422027694.

It is an interprime number because it is at equal distance from previous prime (496720201) and next prime (496720247).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×496720224² = 493461961861220352, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 287427 + ... + 289149.

It is an arithmetic number, because the mean of its divisors is an integer number (6589128).

Almost surely, 2^496720224 is an apocalyptic number.

496720224 is a gapful number since it is divisible by the number (44) 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 496720224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948834432).

496720224 is an abundant number, since it is smaller than the sum of its proper divisors (1400948640).

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

496720224 is a wasteful number, since it uses less digits than its factorization.

496720224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 496720224 is about 22287.2210919172. The cubic root of 496720224 is about 791.9612775681.

The spelling of 496720224 in words is "four hundred ninety-six million, seven hundred twenty thousand, two hundred twenty-four".