496047120 has 160 divisors (see below), whose sum is σ = 1614849024. Its totient is φ = 125798400.

The previous prime is 496047103. The next prime is 496047121. The reversal of 496047120 is 21740694.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (496047121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453294 + ... + 454386.

Almost surely, 2^496047120 is an apocalyptic number.

496047120 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 496047120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807424512).

496047120 is an abundant number, since it is smaller than the sum of its proper divisors (1118801904).

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

496047120 is a wasteful number, since it uses less digits than its factorization.

496047120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 496047120 is about 22272.1153014257. The cubic root of 496047120 is about 791.6033877892.

The spelling of 496047120 in words is "four hundred ninety-six million, forty-seven thousand, one hundred twenty".