496170720 has 288 divisors, whose sum is σ = 1800175104. Its totient is φ = 124185600.

The previous prime is 496170677. The next prime is 496170733. The reversal of 496170720 is 27071694.

It is a happy number.

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

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, 2351415 + ... + 2351625.

It is an arithmetic number, because the mean of its divisors is an integer number (6250608).

Almost surely, 2^496170720 is an apocalyptic number.

496170720 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 496170720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900087552).

496170720 is an abundant number, since it is smaller than the sum of its proper divisors (1304004384).

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

496170720 is a wasteful number, since it uses less digits than its factorization.

496170720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 315 counting only the distinct ones).

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

The square root of 496170720 is about 22274.8898987178. The cubic root of 496170720 is about 791.6691302355.

The spelling of 496170720 in words is "four hundred ninety-six million, one hundred seventy thousand, seven hundred twenty".