496217120 has 144 divisors (see below), whose sum is σ = 1375496640. Its totient is φ = 168666624.

The previous prime is 496217107. The next prime is 496217143. The reversal of 496217120 is 21712694.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1309091 + ... + 1309469.

It is an arithmetic number, because the mean of its divisors is an integer number (9552060).

Almost surely, 2^496217120 is an apocalyptic number.

496217120 is a gapful number since it is divisible by the number (40) 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 496217120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687748320).

496217120 is an abundant number, since it is smaller than the sum of its proper divisors (879279520).

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

496217120 is a wasteful number, since it uses less digits than its factorization.

496217120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 496217120 is about 22275.9314058919. The cubic root of 496217120 is about 791.6938074290.

The spelling of 496217120 in words is "four hundred ninety-six million, two hundred seventeen thousand, one hundred twenty".