496707120 has 720 divisors, whose sum is σ = 2262042720. Its totient is φ = 99283968.

The previous prime is 496707091. The next prime is 496707143. The reversal of 496707120 is 21707694.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26142471 + ... + 26142489.

It is an arithmetic number, because the mean of its divisors is an integer number (3141726).

Almost surely, 2^496707120 is an apocalyptic number.

496707120 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 496707120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131021360).

496707120 is an abundant number, since it is smaller than the sum of its proper divisors (1765335600).

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

496707120 is a wasteful number, since it uses less digits than its factorization.

496707120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 496707120 is about 22286.9271098552. The cubic root of 496707120 is about 791.9543132507.

The spelling of 496707120 in words is "four hundred ninety-six million, seven hundred seven thousand, one hundred twenty".