496311120 has 60 divisors (see below), whose sum is σ = 1666780596. Its totient is φ = 132349440.

The previous prime is 496311091. The next prime is 496311131. The reversal of 496311120 is 21113694.

496311120 is a `hidden beast` number, since 4 + 9 + 631 + 1 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 208398096 + 287913024 = 14436^2 + 16968^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 343941 + ... + 345380.

Almost surely, 2^496311120 is an apocalyptic number.

496311120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

496311120 is an abundant number, since it is smaller than the sum of its proper divisors (1170469476).

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

496311120 is a wasteful number, since it uses less digits than its factorization.

496311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689340 (or 689331 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 496311120 is about 22278.0412065334. The cubic root of 496311120 is about 791.7437953048.

The spelling of 496311120 in words is "four hundred ninety-six million, three hundred eleven thousand, one hundred twenty".