496005120 has 520 divisors, whose sum is σ = 1998079776. Its totient is φ = 116785152.

The previous prime is 496005109. The next prime is 496005131. The reversal of 496005120 is 21500694.

496005120 is a `hidden beast` number, since 4 + 9 + 600 + 51 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (496005109) and next prime (496005131).

It is a tau number, because it is divible by the number of its divisors (520).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21565429 + ... + 21565451.

Almost surely, 2^496005120 is an apocalyptic number.

496005120 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 496005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999039888).

496005120 is an abundant number, since it is smaller than the sum of its proper divisors (1502074656).

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

496005120 is a wasteful number, since it uses less digits than its factorization.

496005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 496005120 is about 22271.1723984167. The cubic root of 496005120 is about 791.5810456371.

The spelling of 496005120 in words is "four hundred ninety-six million, five thousand, one hundred twenty".